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Finding the Third Proportional to 285,681 and 627,402

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Solution

The third proportional to 285,681 and 627,402 is: 1,377,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,681 : 627,402 = 627,402 : x
  2. Step 2: Convert to fraction form
    285,681/627,402 = 627,402/x
  3. Step 3: Cross multiply
    285,681x = 627,402 × 627,402
  4. Step 4: Simplify right side
    285,681x = 393,633,269,604
  5. Step 5: Solve for x
    x = 393,633,269,604/285,681
  6. Step 6: Final answer
    x = 1,377,876.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.