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Finding the Third Proportional to 334,802 and 502,941

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Solution

The third proportional to 334,802 and 502,941 is: 755,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,802 : 502,941 = 502,941 : x
  2. Step 2: Convert to fraction form
    334,802/502,941 = 502,941/x
  3. Step 3: Cross multiply
    334,802x = 502,941 × 502,941
  4. Step 4: Simplify right side
    334,802x = 252,949,649,481
  5. Step 5: Solve for x
    x = 252,949,649,481/334,802
  6. Step 6: Final answer
    x = 755,520.13

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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.