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Finding the Third Proportional to 232,807.50 and 496,551

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Solution

The third proportional to 232,807.50 and 496,551 is: 1,059,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,807.50 : 496,551 = 496,551 : x
  2. Step 2: Convert to fraction form
    232,807.50/496,551 = 496,551/x
  3. Step 3: Cross multiply
    232,807.50x = 496,551 × 496,551
  4. Step 4: Simplify right side
    232,807.50x = 246,562,895,601
  5. Step 5: Solve for x
    x = 246,562,895,601/232,807.50
  6. Step 6: Final answer
    x = 1,059,084.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.