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Finding the Third Proportional to 281,897 and 591,474

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Solution

The third proportional to 281,897 and 591,474 is: 1,241,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,897 : 591,474 = 591,474 : x
  2. Step 2: Convert to fraction form
    281,897/591,474 = 591,474/x
  3. Step 3: Cross multiply
    281,897x = 591,474 × 591,474
  4. Step 4: Simplify right side
    281,897x = 349,841,492,676
  5. Step 5: Solve for x
    x = 349,841,492,676/281,897
  6. Step 6: Final answer
    x = 1,241,025.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.