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Finding the Third Proportional to 215,034.75 and 502,216.50

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Solution

The third proportional to 215,034.75 and 502,216.50 is: 1,172,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,034.75 : 502,216.50 = 502,216.50 : x
  2. Step 2: Convert to fraction form
    215,034.75/502,216.50 = 502,216.50/x
  3. Step 3: Cross multiply
    215,034.75x = 502,216.50 × 502,216.50
  4. Step 4: Simplify right side
    215,034.75x = 252,221,412,872.25
  5. Step 5: Solve for x
    x = 252,221,412,872.25/215,034.75
  6. Step 6: Final answer
    x = 1,172,933.27

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.