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Finding the Third Proportional to 232,836 and 496,200

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Solution

The third proportional to 232,836 and 496,200 is: 1,057,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,836 : 496,200 = 496,200 : x
  2. Step 2: Convert to fraction form
    232,836/496,200 = 496,200/x
  3. Step 3: Cross multiply
    232,836x = 496,200 × 496,200
  4. Step 4: Simplify right side
    232,836x = 246,214,440,000
  5. Step 5: Solve for x
    x = 246,214,440,000/232,836
  6. Step 6: Final answer
    x = 1,057,458.64

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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.