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Finding the Third Proportional to 659,057 and 988,587

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Solution

The third proportional to 659,057 and 988,587 is: 1,482,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,057 : 988,587 = 988,587 : x
  2. Step 2: Convert to fraction form
    659,057/988,587 = 988,587/x
  3. Step 3: Cross multiply
    659,057x = 988,587 × 988,587
  4. Step 4: Simplify right side
    659,057x = 977,304,256,569
  5. Step 5: Solve for x
    x = 977,304,256,569/659,057
  6. Step 6: Final answer
    x = 1,482,882.75

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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.