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Finding the Third Proportional to 266,322 and 374,599

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Solution

The third proportional to 266,322 and 374,599 is: 526,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,322 : 374,599 = 374,599 : x
  2. Step 2: Convert to fraction form
    266,322/374,599 = 374,599/x
  3. Step 3: Cross multiply
    266,322x = 374,599 × 374,599
  4. Step 4: Simplify right side
    266,322x = 140,324,410,801
  5. Step 5: Solve for x
    x = 140,324,410,801/266,322
  6. Step 6: Final answer
    x = 526,897.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.