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Finding the Third Proportional to 323,636 and 502,494

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Solution

The third proportional to 323,636 and 502,494 is: 780,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,636 : 502,494 = 502,494 : x
  2. Step 2: Convert to fraction form
    323,636/502,494 = 502,494/x
  3. Step 3: Cross multiply
    323,636x = 502,494 × 502,494
  4. Step 4: Simplify right side
    323,636x = 252,500,220,036
  5. Step 5: Solve for x
    x = 252,500,220,036/323,636
  6. Step 6: Final answer
    x = 780,198.19

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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.