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Finding the Third Proportional to 240,624 and 487,089

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Solution

The third proportional to 240,624 and 487,089 is: 986,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,624 : 487,089 = 487,089 : x
  2. Step 2: Convert to fraction form
    240,624/487,089 = 487,089/x
  3. Step 3: Cross multiply
    240,624x = 487,089 × 487,089
  4. Step 4: Simplify right side
    240,624x = 237,255,693,921
  5. Step 5: Solve for x
    x = 237,255,693,921/240,624
  6. Step 6: Final answer
    x = 986,001.79

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.