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Finding the Third Proportional to 285,471 and 627,428

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Solution

The third proportional to 285,471 and 627,428 is: 1,379,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,471 : 627,428 = 627,428 : x
  2. Step 2: Convert to fraction form
    285,471/627,428 = 627,428/x
  3. Step 3: Cross multiply
    285,471x = 627,428 × 627,428
  4. Step 4: Simplify right side
    285,471x = 393,665,895,184
  5. Step 5: Solve for x
    x = 393,665,895,184/285,471
  6. Step 6: Final answer
    x = 1,379,004.86

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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.