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Finding the Third Proportional to 252,264 and 374,801

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Solution

The third proportional to 252,264 and 374,801 is: 556,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,264 : 374,801 = 374,801 : x
  2. Step 2: Convert to fraction form
    252,264/374,801 = 374,801/x
  3. Step 3: Cross multiply
    252,264x = 374,801 × 374,801
  4. Step 4: Simplify right side
    252,264x = 140,475,789,601
  5. Step 5: Solve for x
    x = 140,475,789,601/252,264
  6. Step 6: Final answer
    x = 556,860.23

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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.