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Finding the Third Proportional to 252,124.50 and 527,617.50

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Solution

The third proportional to 252,124.50 and 527,617.50 is: 1,104,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,124.50 : 527,617.50 = 527,617.50 : x
  2. Step 2: Convert to fraction form
    252,124.50/527,617.50 = 527,617.50/x
  3. Step 3: Cross multiply
    252,124.50x = 527,617.50 × 527,617.50
  4. Step 4: Simplify right side
    252,124.50x = 278,380,226,306.25
  5. Step 5: Solve for x
    x = 278,380,226,306.25/252,124.50
  6. Step 6: Final answer
    x = 1,104,137.94

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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.