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Finding the Third Proportional to 240,546 and 516,628

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Solution

The third proportional to 240,546 and 516,628 is: 1,109,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,546 : 516,628 = 516,628 : x
  2. Step 2: Convert to fraction form
    240,546/516,628 = 516,628/x
  3. Step 3: Cross multiply
    240,546x = 516,628 × 516,628
  4. Step 4: Simplify right side
    240,546x = 266,904,490,384
  5. Step 5: Solve for x
    x = 266,904,490,384/240,546
  6. Step 6: Final answer
    x = 1,109,577.75

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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.