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Finding the Third Proportional to 232,786.13 and 498,778.88

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Solution

The third proportional to 232,786.13 and 498,778.88 is: 1,068,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,786.13 : 498,778.88 = 498,778.88 : x
  2. Step 2: Convert to fraction form
    232,786.13/498,778.88 = 498,778.88/x
  3. Step 3: Cross multiply
    232,786.13x = 498,778.88 × 498,778.88
  4. Step 4: Simplify right side
    232,786.13x = 248,780,366,146.27
  5. Step 5: Solve for x
    x = 248,780,366,146.27/232,786.13
  6. Step 6: Final answer
    x = 1,068,707.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.