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Finding the Third Proportional to 323,632 and 502,488

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Solution

The third proportional to 323,632 and 502,488 is: 780,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,632 : 502,488 = 502,488 : x
  2. Step 2: Convert to fraction form
    323,632/502,488 = 502,488/x
  3. Step 3: Cross multiply
    323,632x = 502,488 × 502,488
  4. Step 4: Simplify right side
    323,632x = 252,494,190,144
  5. Step 5: Solve for x
    x = 252,494,190,144/323,632
  6. Step 6: Final answer
    x = 780,189.20

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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.