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Finding the Third Proportional to 327,494 and 716,087

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Solution

The third proportional to 327,494 and 716,087 is: 1,565,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,494 : 716,087 = 716,087 : x
  2. Step 2: Convert to fraction form
    327,494/716,087 = 716,087/x
  3. Step 3: Cross multiply
    327,494x = 716,087 × 716,087
  4. Step 4: Simplify right side
    327,494x = 512,780,591,569
  5. Step 5: Solve for x
    x = 512,780,591,569/327,494
  6. Step 6: Final answer
    x = 1,565,770.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.