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Finding the Third Proportional to 281,960 and 665,372

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Solution

The third proportional to 281,960 and 665,372 is: 1,570,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,960 : 665,372 = 665,372 : x
  2. Step 2: Convert to fraction form
    281,960/665,372 = 665,372/x
  3. Step 3: Cross multiply
    281,960x = 665,372 × 665,372
  4. Step 4: Simplify right side
    281,960x = 442,719,898,384
  5. Step 5: Solve for x
    x = 442,719,898,384/281,960
  6. Step 6: Final answer
    x = 1,570,151.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.