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Finding the Third Proportional to 261,923.25 and 387,975

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Solution

The third proportional to 261,923.25 and 387,975 is: 574,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,923.25 : 387,975 = 387,975 : x
  2. Step 2: Convert to fraction form
    261,923.25/387,975 = 387,975/x
  3. Step 3: Cross multiply
    261,923.25x = 387,975 × 387,975
  4. Step 4: Simplify right side
    261,923.25x = 150,524,600,625
  5. Step 5: Solve for x
    x = 150,524,600,625/261,923.25
  6. Step 6: Final answer
    x = 574,689.73

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.