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Finding the Third Proportional to 417,731.06 and 913,707.56

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Solution

The third proportional to 417,731.06 and 913,707.56 is: 1,998,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,731.06 : 913,707.56 = 913,707.56 : x
  2. Step 2: Convert to fraction form
    417,731.06/913,707.56 = 913,707.56/x
  3. Step 3: Cross multiply
    417,731.06x = 913,707.56 × 913,707.56
  4. Step 4: Simplify right side
    417,731.06x = 834,861,509,769.69
  5. Step 5: Solve for x
    x = 834,861,509,769.69/417,731.06
  6. Step 6: Final answer
    x = 1,998,562.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.