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Finding the Third Proportional to 458,956.13 and 645,171.75

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Solution

The third proportional to 458,956.13 and 645,171.75 is: 906,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,956.13 : 645,171.75 = 645,171.75 : x
  2. Step 2: Convert to fraction form
    458,956.13/645,171.75 = 645,171.75/x
  3. Step 3: Cross multiply
    458,956.13x = 645,171.75 × 645,171.75
  4. Step 4: Simplify right side
    458,956.13x = 416,246,586,998.06
  5. Step 5: Solve for x
    x = 416,246,586,998.06/458,956.13
  6. Step 6: Final answer
    x = 906,942.00

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.