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Finding the Third Proportional to 458,865 and 645,035.06

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Solution

The third proportional to 458,865 and 645,035.06 is: 906,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,865 : 645,035.06 = 645,035.06 : x
  2. Step 2: Convert to fraction form
    458,865/645,035.06 = 645,035.06/x
  3. Step 3: Cross multiply
    458,865x = 645,035.06 × 645,035.06
  4. Step 4: Simplify right side
    458,865x = 416,070,231,854.38
  5. Step 5: Solve for x
    x = 416,070,231,854.38/458,865
  6. Step 6: Final answer
    x = 906,737.78

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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.