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Finding the Third Proportional to 339,568 and 517,128

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Solution

The third proportional to 339,568 and 517,128 is: 787,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,568 : 517,128 = 517,128 : x
  2. Step 2: Convert to fraction form
    339,568/517,128 = 517,128/x
  3. Step 3: Cross multiply
    339,568x = 517,128 × 517,128
  4. Step 4: Simplify right side
    339,568x = 267,421,368,384
  5. Step 5: Solve for x
    x = 267,421,368,384/339,568
  6. Step 6: Final answer
    x = 787,534.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.