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Finding the Third Proportional to 462,456 and 690,552

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Solution

The third proportional to 462,456 and 690,552 is: 1,031,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,456 : 690,552 = 690,552 : x
  2. Step 2: Convert to fraction form
    462,456/690,552 = 690,552/x
  3. Step 3: Cross multiply
    462,456x = 690,552 × 690,552
  4. Step 4: Simplify right side
    462,456x = 476,862,064,704
  5. Step 5: Solve for x
    x = 476,862,064,704/462,456
  6. Step 6: Final answer
    x = 1,031,151.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.