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Finding the Third Proportional to 281,941.13 and 619,961.25

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Solution

The third proportional to 281,941.13 and 619,961.25 is: 1,363,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,941.13 : 619,961.25 = 619,961.25 : x
  2. Step 2: Convert to fraction form
    281,941.13/619,961.25 = 619,961.25/x
  3. Step 3: Cross multiply
    281,941.13x = 619,961.25 × 619,961.25
  4. Step 4: Simplify right side
    281,941.13x = 384,351,951,501.56
  5. Step 5: Solve for x
    x = 384,351,951,501.56/281,941.13
  6. Step 6: Final answer
    x = 1,363,234.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.