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Finding the Third Proportional to 311,439 and 679,156.50

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Solution

The third proportional to 311,439 and 679,156.50 is: 1,481,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,439 : 679,156.50 = 679,156.50 : x
  2. Step 2: Convert to fraction form
    311,439/679,156.50 = 679,156.50/x
  3. Step 3: Cross multiply
    311,439x = 679,156.50 × 679,156.50
  4. Step 4: Simplify right side
    311,439x = 461,253,551,492.25
  5. Step 5: Solve for x
    x = 461,253,551,492.25/311,439
  6. Step 6: Final answer
    x = 1,481,039.79

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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.