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Finding the Third Proportional to 240,541 and 516,620

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Solution

The third proportional to 240,541 and 516,620 is: 1,109,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,541 : 516,620 = 516,620 : x
  2. Step 2: Convert to fraction form
    240,541/516,620 = 516,620/x
  3. Step 3: Cross multiply
    240,541x = 516,620 × 516,620
  4. Step 4: Simplify right side
    240,541x = 266,896,224,400
  5. Step 5: Solve for x
    x = 266,896,224,400/240,541
  6. Step 6: Final answer
    x = 1,109,566.45

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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.