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Finding the Third Proportional to 547,902 and 746,400

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Solution

The third proportional to 547,902 and 746,400 is: 1,016,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,902 : 746,400 = 746,400 : x
  2. Step 2: Convert to fraction form
    547,902/746,400 = 746,400/x
  3. Step 3: Cross multiply
    547,902x = 746,400 × 746,400
  4. Step 4: Simplify right side
    547,902x = 557,112,960,000
  5. Step 5: Solve for x
    x = 557,112,960,000/547,902
  6. Step 6: Final answer
    x = 1,016,811.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.