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Finding the Third Proportional to 281,936.25 and 619,693.88

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Solution

The third proportional to 281,936.25 and 619,693.88 is: 1,362,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,936.25 : 619,693.88 = 619,693.88 : x
  2. Step 2: Convert to fraction form
    281,936.25/619,693.88 = 619,693.88/x
  3. Step 3: Cross multiply
    281,936.25x = 619,693.88 × 619,693.88
  4. Step 4: Simplify right side
    281,936.25x = 384,020,498,712.52
  5. Step 5: Solve for x
    x = 384,020,498,712.52/281,936.25
  6. Step 6: Final answer
    x = 1,362,082.74

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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.