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Finding the Third Proportional to 252,825.75 and 547,752.38

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Solution

The third proportional to 252,825.75 and 547,752.38 is: 1,186,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,825.75 : 547,752.38 = 547,752.38 : x
  2. Step 2: Convert to fraction form
    252,825.75/547,752.38 = 547,752.38/x
  3. Step 3: Cross multiply
    252,825.75x = 547,752.38 × 547,752.38
  4. Step 4: Simplify right side
    252,825.75x = 300,032,664,318.14
  5. Step 5: Solve for x
    x = 300,032,664,318.14/252,825.75
  6. Step 6: Final answer
    x = 1,186,717.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.