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Finding the Third Proportional to 311,963.81 and 671,213.81

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Solution

The third proportional to 311,963.81 and 671,213.81 is: 1,444,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,963.81 : 671,213.81 = 671,213.81 : x
  2. Step 2: Convert to fraction form
    311,963.81/671,213.81 = 671,213.81/x
  3. Step 3: Cross multiply
    311,963.81x = 671,213.81 × 671,213.81
  4. Step 4: Simplify right side
    311,963.81x = 450,527,982,090.79
  5. Step 5: Solve for x
    x = 450,527,982,090.79/311,963.81
  6. Step 6: Final answer
    x = 1,444,167.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.