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Finding the Third Proportional to 508,354,570.69 and 785,537,441.44

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Solution

The third proportional to 508,354,570.69 and 785,537,441.44 is: 1,213,855,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,354,570.69 : 785,537,441.44 = 785,537,441.44 : x
  2. Step 2: Convert to fraction form
    508,354,570.69/785,537,441.44 = 785,537,441.44/x
  3. Step 3: Cross multiply
    508,354,570.69x = 785,537,441.44 × 785,537,441.44
  4. Step 4: Simplify right side
    508,354,570.69x = 617,069,071,900,173,696
  5. Step 5: Solve for x
    x = 617,069,071,900,173,696/508,354,570.69
  6. Step 6: Final answer
    x = 1,213,855,658.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.