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Finding the Third Proportional to 240,744 and 519,579

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Solution

The third proportional to 240,744 and 519,579 is: 1,121,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,744 : 519,579 = 519,579 : x
  2. Step 2: Convert to fraction form
    240,744/519,579 = 519,579/x
  3. Step 3: Cross multiply
    240,744x = 519,579 × 519,579
  4. Step 4: Simplify right side
    240,744x = 269,962,337,241
  5. Step 5: Solve for x
    x = 269,962,337,241/240,744
  6. Step 6: Final answer
    x = 1,121,366.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.