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Finding the Third Proportional to 407,785 and 959,436

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Solution

The third proportional to 407,785 and 959,436 is: 2,257,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,785 : 959,436 = 959,436 : x
  2. Step 2: Convert to fraction form
    407,785/959,436 = 959,436/x
  3. Step 3: Cross multiply
    407,785x = 959,436 × 959,436
  4. Step 4: Simplify right side
    407,785x = 920,517,438,096
  5. Step 5: Solve for x
    x = 920,517,438,096/407,785
  6. Step 6: Final answer
    x = 2,257,359.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.