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Finding the Third Proportional to 412,807.50 and 656,731.13

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Solution

The third proportional to 412,807.50 and 656,731.13 is: 1,044,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,807.50 : 656,731.13 = 656,731.13 : x
  2. Step 2: Convert to fraction form
    412,807.50/656,731.13 = 656,731.13/x
  3. Step 3: Cross multiply
    412,807.50x = 656,731.13 × 656,731.13
  4. Step 4: Simplify right side
    412,807.50x = 431,295,770,543.77
  5. Step 5: Solve for x
    x = 431,295,770,543.77/412,807.50
  6. Step 6: Final answer
    x = 1,044,786.66

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Why These Related Problems?

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