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Finding the Third Proportional to 327,297 and 706,227

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Solution

The third proportional to 327,297 and 706,227 is: 1,523,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,297 : 706,227 = 706,227 : x
  2. Step 2: Convert to fraction form
    327,297/706,227 = 706,227/x
  3. Step 3: Cross multiply
    327,297x = 706,227 × 706,227
  4. Step 4: Simplify right side
    327,297x = 498,756,575,529
  5. Step 5: Solve for x
    x = 498,756,575,529/327,297
  6. Step 6: Final answer
    x = 1,523,865.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.