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Finding the Third Proportional to 412,812 and 656,740.13

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Solution

The third proportional to 412,812 and 656,740.13 is: 1,044,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,812 : 656,740.13 = 656,740.13 : x
  2. Step 2: Convert to fraction form
    412,812/656,740.13 = 656,740.13/x
  3. Step 3: Cross multiply
    412,812x = 656,740.13 × 656,740.13
  4. Step 4: Simplify right side
    412,812x = 431,307,591,785.02
  5. Step 5: Solve for x
    x = 431,307,591,785.02/412,812
  6. Step 6: Final answer
    x = 1,044,803.91

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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.