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Finding the Third Proportional to 229,035.38 and 498,727.13

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Solution

The third proportional to 229,035.38 and 498,727.13 is: 1,085,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,035.38 : 498,727.13 = 498,727.13 : x
  2. Step 2: Convert to fraction form
    229,035.38/498,727.13 = 498,727.13/x
  3. Step 3: Cross multiply
    229,035.38x = 498,727.13 × 498,727.13
  4. Step 4: Simplify right side
    229,035.38x = 248,728,745,210.77
  5. Step 5: Solve for x
    x = 248,728,745,210.77/229,035.38
  6. Step 6: Final answer
    x = 1,085,983.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.