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Finding the Third Proportional to 281,853 and 591,399

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Solution

The third proportional to 281,853 and 591,399 is: 1,240,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,853 : 591,399 = 591,399 : x
  2. Step 2: Convert to fraction form
    281,853/591,399 = 591,399/x
  3. Step 3: Cross multiply
    281,853x = 591,399 × 591,399
  4. Step 4: Simplify right side
    281,853x = 349,752,777,201
  5. Step 5: Solve for x
    x = 349,752,777,201/281,853
  6. Step 6: Final answer
    x = 1,240,904.93

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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.