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Finding the Third Proportional to 252,051.75 and 527,472

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Solution

The third proportional to 252,051.75 and 527,472 is: 1,103,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,051.75 : 527,472 = 527,472 : x
  2. Step 2: Convert to fraction form
    252,051.75/527,472 = 527,472/x
  3. Step 3: Cross multiply
    252,051.75x = 527,472 × 527,472
  4. Step 4: Simplify right side
    252,051.75x = 278,226,710,784
  5. Step 5: Solve for x
    x = 278,226,710,784/252,051.75
  6. Step 6: Final answer
    x = 1,103,847.57

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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.