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Finding the Third Proportional to 508,354,531.50 and 785,537,383.50

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Solution

The third proportional to 508,354,531.50 and 785,537,383.50 is: 1,213,855,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,354,531.50 : 785,537,383.50 = 785,537,383.50 : x
  2. Step 2: Convert to fraction form
    508,354,531.50/785,537,383.50 = 785,537,383.50/x
  3. Step 3: Cross multiply
    508,354,531.50x = 785,537,383.50 × 785,537,383.50
  4. Step 4: Simplify right side
    508,354,531.50x = 617,068,980,876,026,112
  5. Step 5: Solve for x
    x = 617,068,980,876,026,112/508,354,531.50
  6. Step 6: Final answer
    x = 1,213,855,572.52

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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.