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Finding the Third Proportional to 334,198 and 502,895

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Solution

The third proportional to 334,198 and 502,895 is: 756,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,198 : 502,895 = 502,895 : x
  2. Step 2: Convert to fraction form
    334,198/502,895 = 502,895/x
  3. Step 3: Cross multiply
    334,198x = 502,895 × 502,895
  4. Step 4: Simplify right side
    334,198x = 252,903,381,025
  5. Step 5: Solve for x
    x = 252,903,381,025/334,198
  6. Step 6: Final answer
    x = 756,747.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.