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Finding the Third Proportional to 334,010 and 517,287

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Solution

The third proportional to 334,010 and 517,287 is: 801,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,010 : 517,287 = 517,287 : x
  2. Step 2: Convert to fraction form
    334,010/517,287 = 517,287/x
  3. Step 3: Cross multiply
    334,010x = 517,287 × 517,287
  4. Step 4: Simplify right side
    334,010x = 267,585,840,369
  5. Step 5: Solve for x
    x = 267,585,840,369/334,010
  6. Step 6: Final answer
    x = 801,131.22

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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.