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Finding the Third Proportional to 387,604 and 834,344

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Solution

The third proportional to 387,604 and 834,344 is: 1,795,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,604 : 834,344 = 834,344 : x
  2. Step 2: Convert to fraction form
    387,604/834,344 = 834,344/x
  3. Step 3: Cross multiply
    387,604x = 834,344 × 834,344
  4. Step 4: Simplify right side
    387,604x = 696,129,910,336
  5. Step 5: Solve for x
    x = 696,129,910,336/387,604
  6. Step 6: Final answer
    x = 1,795,982.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.