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Finding the Third Proportional to 323,136 and 493,452

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Solution

The third proportional to 323,136 and 493,452 is: 753,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,136 : 493,452 = 493,452 : x
  2. Step 2: Convert to fraction form
    323,136/493,452 = 493,452/x
  3. Step 3: Cross multiply
    323,136x = 493,452 × 493,452
  4. Step 4: Simplify right side
    323,136x = 243,494,876,304
  5. Step 5: Solve for x
    x = 243,494,876,304/323,136
  6. Step 6: Final answer
    x = 753,536.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.