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Finding the Third Proportional to 333,661 and 517,079

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Solution

The third proportional to 333,661 and 517,079 is: 801,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,661 : 517,079 = 517,079 : x
  2. Step 2: Convert to fraction form
    333,661/517,079 = 517,079/x
  3. Step 3: Cross multiply
    333,661x = 517,079 × 517,079
  4. Step 4: Simplify right side
    333,661x = 267,370,692,241
  5. Step 5: Solve for x
    x = 267,370,692,241/333,661
  6. Step 6: Final answer
    x = 801,324.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.