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Finding the Third Proportional to 254,217 and 372,825

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Solution

The third proportional to 254,217 and 372,825 is: 546,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,217 : 372,825 = 372,825 : x
  2. Step 2: Convert to fraction form
    254,217/372,825 = 372,825/x
  3. Step 3: Cross multiply
    254,217x = 372,825 × 372,825
  4. Step 4: Simplify right side
    254,217x = 138,998,480,625
  5. Step 5: Solve for x
    x = 138,998,480,625/254,217
  6. Step 6: Final answer
    x = 546,770.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.