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Finding the Third Proportional to 230,500.69 and 498,901.78

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Solution

The third proportional to 230,500.69 and 498,901.78 is: 1,079,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,500.69 : 498,901.78 = 498,901.78 : x
  2. Step 2: Convert to fraction form
    230,500.69/498,901.78 = 498,901.78/x
  3. Step 3: Cross multiply
    230,500.69x = 498,901.78 × 498,901.78
  4. Step 4: Simplify right side
    230,500.69x = 248,902,987,334.42
  5. Step 5: Solve for x
    x = 248,902,987,334.42/230,500.69
  6. Step 6: Final answer
    x = 1,079,836.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.