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Finding the Third Proportional to 232,571 and 315,633

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Solution

The third proportional to 232,571 and 315,633 is: 428,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,571 : 315,633 = 315,633 : x
  2. Step 2: Convert to fraction form
    232,571/315,633 = 315,633/x
  3. Step 3: Cross multiply
    232,571x = 315,633 × 315,633
  4. Step 4: Simplify right side
    232,571x = 99,624,190,689
  5. Step 5: Solve for x
    x = 99,624,190,689/232,571
  6. Step 6: Final answer
    x = 428,360.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.