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Finding the Third Proportional to 482,750 and 675,235

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Solution

The third proportional to 482,750 and 675,235 is: 944,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,750 : 675,235 = 675,235 : x
  2. Step 2: Convert to fraction form
    482,750/675,235 = 675,235/x
  3. Step 3: Cross multiply
    482,750x = 675,235 × 675,235
  4. Step 4: Simplify right side
    482,750x = 455,942,305,225
  5. Step 5: Solve for x
    x = 455,942,305,225/482,750
  6. Step 6: Final answer
    x = 944,468.78

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.