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Finding the Third Proportional to 254,416 and 395,632

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Solution

The third proportional to 254,416 and 395,632 is: 615,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,416 : 395,632 = 395,632 : x
  2. Step 2: Convert to fraction form
    254,416/395,632 = 395,632/x
  3. Step 3: Cross multiply
    254,416x = 395,632 × 395,632
  4. Step 4: Simplify right side
    254,416x = 156,524,679,424
  5. Step 5: Solve for x
    x = 156,524,679,424/254,416
  6. Step 6: Final answer
    x = 615,231.27

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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.