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Finding the Third Proportional to 215,640 and 467,932.50

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Solution

The third proportional to 215,640 and 467,932.50 is: 1,015,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,640 : 467,932.50 = 467,932.50 : x
  2. Step 2: Convert to fraction form
    215,640/467,932.50 = 467,932.50/x
  3. Step 3: Cross multiply
    215,640x = 467,932.50 × 467,932.50
  4. Step 4: Simplify right side
    215,640x = 218,960,824,556.25
  5. Step 5: Solve for x
    x = 218,960,824,556.25/215,640
  6. Step 6: Final answer
    x = 1,015,399.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.