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Finding the Third Proportional to 327,541 and 497,225

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Solution

The third proportional to 327,541 and 497,225 is: 754,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,541 : 497,225 = 497,225 : x
  2. Step 2: Convert to fraction form
    327,541/497,225 = 497,225/x
  3. Step 3: Cross multiply
    327,541x = 497,225 × 497,225
  4. Step 4: Simplify right side
    327,541x = 247,232,700,625
  5. Step 5: Solve for x
    x = 247,232,700,625/327,541
  6. Step 6: Final answer
    x = 754,814.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.