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Finding the Third Proportional to 333,790 and 517,175

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Solution

The third proportional to 333,790 and 517,175 is: 801,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,790 : 517,175 = 517,175 : x
  2. Step 2: Convert to fraction form
    333,790/517,175 = 517,175/x
  3. Step 3: Cross multiply
    333,790x = 517,175 × 517,175
  4. Step 4: Simplify right side
    333,790x = 267,469,980,625
  5. Step 5: Solve for x
    x = 267,469,980,625/333,790
  6. Step 6: Final answer
    x = 801,312.14

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