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Finding the Third Proportional to 274,202.38 and 423,750.38

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Solution

The third proportional to 274,202.38 and 423,750.38 is: 654,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,202.38 : 423,750.38 = 423,750.38 : x
  2. Step 2: Convert to fraction form
    274,202.38/423,750.38 = 423,750.38/x
  3. Step 3: Cross multiply
    274,202.38x = 423,750.38 × 423,750.38
  4. Step 4: Simplify right side
    274,202.38x = 179,564,380,312.64
  5. Step 5: Solve for x
    x = 179,564,380,312.64/274,202.38
  6. Step 6: Final answer
    x = 654,860.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.