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Finding the Third Proportional to 420,651 and 652,581

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Solution

The third proportional to 420,651 and 652,581 is: 1,012,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,651 : 652,581 = 652,581 : x
  2. Step 2: Convert to fraction form
    420,651/652,581 = 652,581/x
  3. Step 3: Cross multiply
    420,651x = 652,581 × 652,581
  4. Step 4: Simplify right side
    420,651x = 425,861,961,561
  5. Step 5: Solve for x
    x = 425,861,961,561/420,651
  6. Step 6: Final answer
    x = 1,012,387.85

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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.