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Finding the Third Proportional to 311,036 and 466,448

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Solution

The third proportional to 311,036 and 466,448 is: 699,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,036 : 466,448 = 466,448 : x
  2. Step 2: Convert to fraction form
    311,036/466,448 = 466,448/x
  3. Step 3: Cross multiply
    311,036x = 466,448 × 466,448
  4. Step 4: Simplify right side
    311,036x = 217,573,736,704
  5. Step 5: Solve for x
    x = 217,573,736,704/311,036
  6. Step 6: Final answer
    x = 699,513.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.