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Finding the Third Proportional to 281,944 and 591,565

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Solution

The third proportional to 281,944 and 591,565 is: 1,241,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,944 : 591,565 = 591,565 : x
  2. Step 2: Convert to fraction form
    281,944/591,565 = 591,565/x
  3. Step 3: Cross multiply
    281,944x = 591,565 × 591,565
  4. Step 4: Simplify right side
    281,944x = 349,949,149,225
  5. Step 5: Solve for x
    x = 349,949,149,225/281,944
  6. Step 6: Final answer
    x = 1,241,200.91

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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.