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Finding the Third Proportional to 240,543 and 516,624

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Solution

The third proportional to 240,543 and 516,624 is: 1,109,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,543 : 516,624 = 516,624 : x
  2. Step 2: Convert to fraction form
    240,543/516,624 = 516,624/x
  3. Step 3: Cross multiply
    240,543x = 516,624 × 516,624
  4. Step 4: Simplify right side
    240,543x = 266,900,357,376
  5. Step 5: Solve for x
    x = 266,900,357,376/240,543
  6. Step 6: Final answer
    x = 1,109,574.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.