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Finding the Third Proportional to 281,481 and 574,422

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Solution

The third proportional to 281,481 and 574,422 is: 1,172,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,481 : 574,422 = 574,422 : x
  2. Step 2: Convert to fraction form
    281,481/574,422 = 574,422/x
  3. Step 3: Cross multiply
    281,481x = 574,422 × 574,422
  4. Step 4: Simplify right side
    281,481x = 329,960,634,084
  5. Step 5: Solve for x
    x = 329,960,634,084/281,481
  6. Step 6: Final answer
    x = 1,172,230.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.