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Finding the Third Proportional to 311,869.50 and 482,709

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Solution

The third proportional to 311,869.50 and 482,709 is: 747,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,869.50 : 482,709 = 482,709 : x
  2. Step 2: Convert to fraction form
    311,869.50/482,709 = 482,709/x
  3. Step 3: Cross multiply
    311,869.50x = 482,709 × 482,709
  4. Step 4: Simplify right side
    311,869.50x = 233,007,978,681
  5. Step 5: Solve for x
    x = 233,007,978,681/311,869.50
  6. Step 6: Final answer
    x = 747,132.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.