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Finding the Third Proportional to 207,730.13 and 451,856.81

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Solution

The third proportional to 207,730.13 and 451,856.81 is: 982,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,730.13 : 451,856.81 = 451,856.81 : x
  2. Step 2: Convert to fraction form
    207,730.13/451,856.81 = 451,856.81/x
  3. Step 3: Cross multiply
    207,730.13x = 451,856.81 × 451,856.81
  4. Step 4: Simplify right side
    207,730.13x = 204,174,579,002.66
  5. Step 5: Solve for x
    x = 204,174,579,002.66/207,730.13
  6. Step 6: Final answer
    x = 982,883.82

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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.