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Finding the Third Proportional to 527,228.25 and 1,091,838.75

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Solution

The third proportional to 527,228.25 and 1,091,838.75 is: 2,261,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,228.25 : 1,091,838.75 = 1,091,838.75 : x
  2. Step 2: Convert to fraction form
    527,228.25/1,091,838.75 = 1,091,838.75/x
  3. Step 3: Cross multiply
    527,228.25x = 1,091,838.75 × 1,091,838.75
  4. Step 4: Simplify right side
    527,228.25x = 1,192,111,856,001.56
  5. Step 5: Solve for x
    x = 1,192,111,856,001.56/527,228.25
  6. Step 6: Final answer
    x = 2,261,092.53

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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.