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Finding the Third Proportional to 333,874 and 517,660

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Solution

The third proportional to 333,874 and 517,660 is: 802,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,874 : 517,660 = 517,660 : x
  2. Step 2: Convert to fraction form
    333,874/517,660 = 517,660/x
  3. Step 3: Cross multiply
    333,874x = 517,660 × 517,660
  4. Step 4: Simplify right side
    333,874x = 267,971,875,600
  5. Step 5: Solve for x
    x = 267,971,875,600/333,874
  6. Step 6: Final answer
    x = 802,613.79

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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.