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Finding the Third Proportional to 235,761 and 482,415

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Solution

The third proportional to 235,761 and 482,415 is: 987,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,761 : 482,415 = 482,415 : x
  2. Step 2: Convert to fraction form
    235,761/482,415 = 482,415/x
  3. Step 3: Cross multiply
    235,761x = 482,415 × 482,415
  4. Step 4: Simplify right side
    235,761x = 232,724,232,225
  5. Step 5: Solve for x
    x = 232,724,232,225/235,761
  6. Step 6: Final answer
    x = 987,119.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.