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Finding the Third Proportional to 333,876 and 517,663

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Solution

The third proportional to 333,876 and 517,663 is: 802,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,876 : 517,663 = 517,663 : x
  2. Step 2: Convert to fraction form
    333,876/517,663 = 517,663/x
  3. Step 3: Cross multiply
    333,876x = 517,663 × 517,663
  4. Step 4: Simplify right side
    333,876x = 267,974,981,569
  5. Step 5: Solve for x
    x = 267,974,981,569/333,876
  6. Step 6: Final answer
    x = 802,618.28

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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.