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Finding the Third Proportional to 240,408 and 374,220

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Solution

The third proportional to 240,408 and 374,220 is: 582,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,408 : 374,220 = 374,220 : x
  2. Step 2: Convert to fraction form
    240,408/374,220 = 374,220/x
  3. Step 3: Cross multiply
    240,408x = 374,220 × 374,220
  4. Step 4: Simplify right side
    240,408x = 140,040,608,400
  5. Step 5: Solve for x
    x = 140,040,608,400/240,408
  6. Step 6: Final answer
    x = 582,512.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.