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Finding the Third Proportional to 311,432.06 and 679,145.06

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Solution

The third proportional to 311,432.06 and 679,145.06 is: 1,481,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,432.06 : 679,145.06 = 679,145.06 : x
  2. Step 2: Convert to fraction form
    311,432.06/679,145.06 = 679,145.06/x
  3. Step 3: Cross multiply
    311,432.06x = 679,145.06 × 679,145.06
  4. Step 4: Simplify right side
    311,432.06x = 461,238,015,918.13
  5. Step 5: Solve for x
    x = 461,238,015,918.13/311,432.06
  6. Step 6: Final answer
    x = 1,481,022.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.