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Finding the Third Proportional to 281,956 and 591,592

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Solution

The third proportional to 281,956 and 591,592 is: 1,241,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,956 : 591,592 = 591,592 : x
  2. Step 2: Convert to fraction form
    281,956/591,592 = 591,592/x
  3. Step 3: Cross multiply
    281,956x = 591,592 × 591,592
  4. Step 4: Simplify right side
    281,956x = 349,981,094,464
  5. Step 5: Solve for x
    x = 349,981,094,464/281,956
  6. Step 6: Final answer
    x = 1,241,261.38

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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.