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Finding the Third Proportional to 333,902 and 517,344

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Solution

The third proportional to 333,902 and 517,344 is: 801,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,902 : 517,344 = 517,344 : x
  2. Step 2: Convert to fraction form
    333,902/517,344 = 517,344/x
  3. Step 3: Cross multiply
    333,902x = 517,344 × 517,344
  4. Step 4: Simplify right side
    333,902x = 267,644,814,336
  5. Step 5: Solve for x
    x = 267,644,814,336/333,902
  6. Step 6: Final answer
    x = 801,566.97

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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.