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Finding the Third Proportional to 402,044.13 and 625,118.45

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Solution

The third proportional to 402,044.13 and 625,118.45 is: 971,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,044.13 : 625,118.45 = 625,118.45 : x
  2. Step 2: Convert to fraction form
    402,044.13/625,118.45 = 625,118.45/x
  3. Step 3: Cross multiply
    402,044.13x = 625,118.45 × 625,118.45
  4. Step 4: Simplify right side
    402,044.13x = 390,773,075,553.66
  5. Step 5: Solve for x
    x = 390,773,075,553.66/402,044.13
  6. Step 6: Final answer
    x = 971,965.62

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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.