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Finding the Third Proportional to 625,882 and 938,398

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Solution

The third proportional to 625,882 and 938,398 is: 1,406,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,882 : 938,398 = 938,398 : x
  2. Step 2: Convert to fraction form
    625,882/938,398 = 938,398/x
  3. Step 3: Cross multiply
    625,882x = 938,398 × 938,398
  4. Step 4: Simplify right side
    625,882x = 880,590,806,404
  5. Step 5: Solve for x
    x = 880,590,806,404/625,882
  6. Step 6: Final answer
    x = 1,406,959.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.