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Finding the Third Proportional to 240,902 and 374,697

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Solution

The third proportional to 240,902 and 374,697 is: 582,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,902 : 374,697 = 374,697 : x
  2. Step 2: Convert to fraction form
    240,902/374,697 = 374,697/x
  3. Step 3: Cross multiply
    240,902x = 374,697 × 374,697
  4. Step 4: Simplify right side
    240,902x = 140,397,841,809
  5. Step 5: Solve for x
    x = 140,397,841,809/240,902
  6. Step 6: Final answer
    x = 582,800.65

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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.