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Finding the Third Proportional to 412,545.66 and 656,407.55

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Solution

The third proportional to 412,545.66 and 656,407.55 is: 1,044,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,545.66 : 656,407.55 = 656,407.55 : x
  2. Step 2: Convert to fraction form
    412,545.66/656,407.55 = 656,407.55/x
  3. Step 3: Cross multiply
    412,545.66x = 656,407.55 × 656,407.55
  4. Step 4: Simplify right side
    412,545.66x = 430,870,867,594.46
  5. Step 5: Solve for x
    x = 430,870,867,594.46/412,545.66
  6. Step 6: Final answer
    x = 1,044,419.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.