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Finding the Third Proportional to 281,016 and 601,380

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Solution

The third proportional to 281,016 and 601,380 is: 1,286,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,016 : 601,380 = 601,380 : x
  2. Step 2: Convert to fraction form
    281,016/601,380 = 601,380/x
  3. Step 3: Cross multiply
    281,016x = 601,380 × 601,380
  4. Step 4: Simplify right side
    281,016x = 361,657,904,400
  5. Step 5: Solve for x
    x = 361,657,904,400/281,016
  6. Step 6: Final answer
    x = 1,286,965.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.