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Finding the Third Proportional to 322,462.50 and 483,639

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Solution

The third proportional to 322,462.50 and 483,639 is: 725,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,462.50 : 483,639 = 483,639 : x
  2. Step 2: Convert to fraction form
    322,462.50/483,639 = 483,639/x
  3. Step 3: Cross multiply
    322,462.50x = 483,639 × 483,639
  4. Step 4: Simplify right side
    322,462.50x = 233,906,682,321
  5. Step 5: Solve for x
    x = 233,906,682,321/322,462.50
  6. Step 6: Final answer
    x = 725,376.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.