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Finding the Third Proportional to 327,498 and 716,096

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Solution

The third proportional to 327,498 and 716,096 is: 1,565,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,498 : 716,096 = 716,096 : x
  2. Step 2: Convert to fraction form
    327,498/716,096 = 716,096/x
  3. Step 3: Cross multiply
    327,498x = 716,096 × 716,096
  4. Step 4: Simplify right side
    327,498x = 512,793,481,216
  5. Step 5: Solve for x
    x = 512,793,481,216/327,498
  6. Step 6: Final answer
    x = 1,565,791.18

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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.