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Finding the Third Proportional to 527,208.75 and 1,091,800.27

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Solution

The third proportional to 527,208.75 and 1,091,800.27 is: 2,261,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,208.75 : 1,091,800.27 = 1,091,800.27 : x
  2. Step 2: Convert to fraction form
    527,208.75/1,091,800.27 = 1,091,800.27/x
  3. Step 3: Cross multiply
    527,208.75x = 1,091,800.27 × 1,091,800.27
  4. Step 4: Simplify right side
    527,208.75x = 1,192,027,820,018.82
  5. Step 5: Solve for x
    x = 1,192,027,820,018.82/527,208.75
  6. Step 6: Final answer
    x = 2,261,016.76

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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.