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Finding the Third Proportional to 252,057 and 527,484

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Solution

The third proportional to 252,057 and 527,484 is: 1,103,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,057 : 527,484 = 527,484 : x
  2. Step 2: Convert to fraction form
    252,057/527,484 = 527,484/x
  3. Step 3: Cross multiply
    252,057x = 527,484 × 527,484
  4. Step 4: Simplify right side
    252,057x = 278,239,370,256
  5. Step 5: Solve for x
    x = 278,239,370,256/252,057
  6. Step 6: Final answer
    x = 1,103,874.80

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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.