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Finding the Third Proportional to 252,230 and 527,822

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Solution

The third proportional to 252,230 and 527,822 is: 1,104,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,230 : 527,822 = 527,822 : x
  2. Step 2: Convert to fraction form
    252,230/527,822 = 527,822/x
  3. Step 3: Cross multiply
    252,230x = 527,822 × 527,822
  4. Step 4: Simplify right side
    252,230x = 278,596,063,684
  5. Step 5: Solve for x
    x = 278,596,063,684/252,230
  6. Step 6: Final answer
    x = 1,104,531.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.