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Finding the Third Proportional to 252,601 and 374,800

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Solution

The third proportional to 252,601 and 374,800 is: 556,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,601 : 374,800 = 374,800 : x
  2. Step 2: Convert to fraction form
    252,601/374,800 = 374,800/x
  3. Step 3: Cross multiply
    252,601x = 374,800 × 374,800
  4. Step 4: Simplify right side
    252,601x = 140,475,040,000
  5. Step 5: Solve for x
    x = 140,475,040,000/252,601
  6. Step 6: Final answer
    x = 556,114.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.