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Finding the Third Proportional to 311,188 and 456,882

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Solution

The third proportional to 311,188 and 456,882 is: 670,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,188 : 456,882 = 456,882 : x
  2. Step 2: Convert to fraction form
    311,188/456,882 = 456,882/x
  3. Step 3: Cross multiply
    311,188x = 456,882 × 456,882
  4. Step 4: Simplify right side
    311,188x = 208,741,161,924
  5. Step 5: Solve for x
    x = 208,741,161,924/311,188
  6. Step 6: Final answer
    x = 670,787.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.