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Finding the Third Proportional to 241,463 and 527,800

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Solution

The third proportional to 241,463 and 527,800 is: 1,153,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,463 : 527,800 = 527,800 : x
  2. Step 2: Convert to fraction form
    241,463/527,800 = 527,800/x
  3. Step 3: Cross multiply
    241,463x = 527,800 × 527,800
  4. Step 4: Simplify right side
    241,463x = 278,572,840,000
  5. Step 5: Solve for x
    x = 278,572,840,000/241,463
  6. Step 6: Final answer
    x = 1,153,687.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.