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Finding the Third Proportional to 323,638 and 502,498

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Solution

The third proportional to 323,638 and 502,498 is: 780,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,638 : 502,498 = 502,498 : x
  2. Step 2: Convert to fraction form
    323,638/502,498 = 502,498/x
  3. Step 3: Cross multiply
    323,638x = 502,498 × 502,498
  4. Step 4: Simplify right side
    323,638x = 252,504,240,004
  5. Step 5: Solve for x
    x = 252,504,240,004/323,638
  6. Step 6: Final answer
    x = 780,205.79

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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.