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Finding the Third Proportional to 312,680 and 484,467

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Solution

The third proportional to 312,680 and 484,467 is: 750,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,680 : 484,467 = 484,467 : x
  2. Step 2: Convert to fraction form
    312,680/484,467 = 484,467/x
  3. Step 3: Cross multiply
    312,680x = 484,467 × 484,467
  4. Step 4: Simplify right side
    312,680x = 234,708,274,089
  5. Step 5: Solve for x
    x = 234,708,274,089/312,680
  6. Step 6: Final answer
    x = 750,634.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.