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Finding the Third Proportional to 323,786 and 502,635

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Solution

The third proportional to 323,786 and 502,635 is: 780,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,786 : 502,635 = 502,635 : x
  2. Step 2: Convert to fraction form
    323,786/502,635 = 502,635/x
  3. Step 3: Cross multiply
    323,786x = 502,635 × 502,635
  4. Step 4: Simplify right side
    323,786x = 252,641,943,225
  5. Step 5: Solve for x
    x = 252,641,943,225/323,786
  6. Step 6: Final answer
    x = 780,274.45

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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.