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Finding the Third Proportional to 571,306,290.75 and 804,525,148.13

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Solution

The third proportional to 571,306,290.75 and 804,525,148.13 is: 1,132,948,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,306,290.75 : 804,525,148.13 = 804,525,148.13 : x
  2. Step 2: Convert to fraction form
    571,306,290.75/804,525,148.13 = 804,525,148.13/x
  3. Step 3: Cross multiply
    571,306,290.75x = 804,525,148.13 × 804,525,148.13
  4. Step 4: Simplify right side
    571,306,290.75x = 647,260,713,965,553,152
  5. Step 5: Solve for x
    x = 647,260,713,965,553,152/571,306,290.75
  6. Step 6: Final answer
    x = 1,132,948,690.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.