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Finding the Third Proportional to 334,022 and 517,263

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Solution

The third proportional to 334,022 and 517,263 is: 801,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,022 : 517,263 = 517,263 : x
  2. Step 2: Convert to fraction form
    334,022/517,263 = 517,263/x
  3. Step 3: Cross multiply
    334,022x = 517,263 × 517,263
  4. Step 4: Simplify right side
    334,022x = 267,561,011,169
  5. Step 5: Solve for x
    x = 267,561,011,169/334,022
  6. Step 6: Final answer
    x = 801,028.11

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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.