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Finding the Third Proportional to 311,728.50 and 672,102

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Solution

The third proportional to 311,728.50 and 672,102 is: 1,449,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,728.50 : 672,102 = 672,102 : x
  2. Step 2: Convert to fraction form
    311,728.50/672,102 = 672,102/x
  3. Step 3: Cross multiply
    311,728.50x = 672,102 × 672,102
  4. Step 4: Simplify right side
    311,728.50x = 451,721,098,404
  5. Step 5: Solve for x
    x = 451,721,098,404/311,728.50
  6. Step 6: Final answer
    x = 1,449,085.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.