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Finding the Third Proportional to 240,801 and 527,277

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Solution

The third proportional to 240,801 and 527,277 is: 1,154,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,801 : 527,277 = 527,277 : x
  2. Step 2: Convert to fraction form
    240,801/527,277 = 527,277/x
  3. Step 3: Cross multiply
    240,801x = 527,277 × 527,277
  4. Step 4: Simplify right side
    240,801x = 278,021,034,729
  5. Step 5: Solve for x
    x = 278,021,034,729/240,801
  6. Step 6: Final answer
    x = 1,154,567.61

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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.