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Finding the Third Proportional to 232,530 and 496,780

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Solution

The third proportional to 232,530 and 496,780 is: 1,061,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,530 : 496,780 = 496,780 : x
  2. Step 2: Convert to fraction form
    232,530/496,780 = 496,780/x
  3. Step 3: Cross multiply
    232,530x = 496,780 × 496,780
  4. Step 4: Simplify right side
    232,530x = 246,790,368,400
  5. Step 5: Solve for x
    x = 246,790,368,400/232,530
  6. Step 6: Final answer
    x = 1,061,327.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.