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Finding the Third Proportional to 447,124.50 and 656,430.75

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Solution

The third proportional to 447,124.50 and 656,430.75 is: 963,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,124.50 : 656,430.75 = 656,430.75 : x
  2. Step 2: Convert to fraction form
    447,124.50/656,430.75 = 656,430.75/x
  3. Step 3: Cross multiply
    447,124.50x = 656,430.75 × 656,430.75
  4. Step 4: Simplify right side
    447,124.50x = 430,901,329,545.56
  5. Step 5: Solve for x
    x = 430,901,329,545.56/447,124.50
  6. Step 6: Final answer
    x = 963,716.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.