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Finding the Third Proportional to 498,162.38 and 753,141.38

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Solution

The third proportional to 498,162.38 and 753,141.38 is: 1,138,628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,162.38 : 753,141.38 = 753,141.38 : x
  2. Step 2: Convert to fraction form
    498,162.38/753,141.38 = 753,141.38/x
  3. Step 3: Cross multiply
    498,162.38x = 753,141.38 × 753,141.38
  4. Step 4: Simplify right side
    498,162.38x = 567,221,930,736.89
  5. Step 5: Solve for x
    x = 567,221,930,736.89/498,162.38
  6. Step 6: Final answer
    x = 1,138,628.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.