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Finding the Third Proportional to 332,221 and 725,337

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Solution

The third proportional to 332,221 and 725,337 is: 1,583,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,221 : 725,337 = 725,337 : x
  2. Step 2: Convert to fraction form
    332,221/725,337 = 725,337/x
  3. Step 3: Cross multiply
    332,221x = 725,337 × 725,337
  4. Step 4: Simplify right side
    332,221x = 526,113,763,569
  5. Step 5: Solve for x
    x = 526,113,763,569/332,221
  6. Step 6: Final answer
    x = 1,583,625.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.