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Finding the Third Proportional to 334,874 and 502,311

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Solution

The third proportional to 334,874 and 502,311 is: 753,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,874 : 502,311 = 502,311 : x
  2. Step 2: Convert to fraction form
    334,874/502,311 = 502,311/x
  3. Step 3: Cross multiply
    334,874x = 502,311 × 502,311
  4. Step 4: Simplify right side
    334,874x = 252,316,340,721
  5. Step 5: Solve for x
    x = 252,316,340,721/334,874
  6. Step 6: Final answer
    x = 753,466.50

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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.