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Finding the Third Proportional to 324,777 and 485,523

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Solution

The third proportional to 324,777 and 485,523 is: 725,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,777 : 485,523 = 485,523 : x
  2. Step 2: Convert to fraction form
    324,777/485,523 = 485,523/x
  3. Step 3: Cross multiply
    324,777x = 485,523 × 485,523
  4. Step 4: Simplify right side
    324,777x = 235,732,583,529
  5. Step 5: Solve for x
    x = 235,732,583,529/324,777
  6. Step 6: Final answer
    x = 725,829.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.