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Finding the Third Proportional to 332,886.38 and 471,027.66

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Solution

The third proportional to 332,886.38 and 471,027.66 is: 666,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,886.38 : 471,027.66 = 471,027.66 : x
  2. Step 2: Convert to fraction form
    332,886.38/471,027.66 = 471,027.66/x
  3. Step 3: Cross multiply
    332,886.38x = 471,027.66 × 471,027.66
  4. Step 4: Simplify right side
    332,886.38x = 221,867,052,952.37
  5. Step 5: Solve for x
    x = 221,867,052,952.37/332,886.38
  6. Step 6: Final answer
    x = 666,494.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.