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Finding the Third Proportional to 281,486 and 574,432

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Solution

The third proportional to 281,486 and 574,432 is: 1,172,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,486 : 574,432 = 574,432 : x
  2. Step 2: Convert to fraction form
    281,486/574,432 = 574,432/x
  3. Step 3: Cross multiply
    281,486x = 574,432 × 574,432
  4. Step 4: Simplify right side
    281,486x = 329,972,122,624
  5. Step 5: Solve for x
    x = 329,972,122,624/281,486
  6. Step 6: Final answer
    x = 1,172,250.57

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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.