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Finding the Third Proportional to 387,667 and 822,300

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Solution

The third proportional to 387,667 and 822,300 is: 1,744,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,667 : 822,300 = 822,300 : x
  2. Step 2: Convert to fraction form
    387,667/822,300 = 822,300/x
  3. Step 3: Cross multiply
    387,667x = 822,300 × 822,300
  4. Step 4: Simplify right side
    387,667x = 676,177,290,000
  5. Step 5: Solve for x
    x = 676,177,290,000/387,667
  6. Step 6: Final answer
    x = 1,744,221.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.