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Finding the Third Proportional to 333,684 and 517,122

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Solution

The third proportional to 333,684 and 517,122 is: 801,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,684 : 517,122 = 517,122 : x
  2. Step 2: Convert to fraction form
    333,684/517,122 = 517,122/x
  3. Step 3: Cross multiply
    333,684x = 517,122 × 517,122
  4. Step 4: Simplify right side
    333,684x = 267,415,162,884
  5. Step 5: Solve for x
    x = 267,415,162,884/333,684
  6. Step 6: Final answer
    x = 801,402.41

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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.