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Finding the Third Proportional to 527,225.25 and 1,091,832.75

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Solution

The third proportional to 527,225.25 and 1,091,832.75 is: 2,261,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,225.25 : 1,091,832.75 = 1,091,832.75 : x
  2. Step 2: Convert to fraction form
    527,225.25/1,091,832.75 = 1,091,832.75/x
  3. Step 3: Cross multiply
    527,225.25x = 1,091,832.75 × 1,091,832.75
  4. Step 4: Simplify right side
    527,225.25x = 1,192,098,753,972.56
  5. Step 5: Solve for x
    x = 1,192,098,753,972.56/527,225.25
  6. Step 6: Final answer
    x = 2,261,080.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.