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Finding the Third Proportional to 387,376 and 836,996

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Solution

The third proportional to 387,376 and 836,996 is: 1,808,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,376 : 836,996 = 836,996 : x
  2. Step 2: Convert to fraction form
    387,376/836,996 = 836,996/x
  3. Step 3: Cross multiply
    387,376x = 836,996 × 836,996
  4. Step 4: Simplify right side
    387,376x = 700,562,304,016
  5. Step 5: Solve for x
    x = 700,562,304,016/387,376
  6. Step 6: Final answer
    x = 1,808,481.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.