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Finding the Third Proportional to 232,887 and 474,337

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Solution

The third proportional to 232,887 and 474,337 is: 966,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,887 : 474,337 = 474,337 : x
  2. Step 2: Convert to fraction form
    232,887/474,337 = 474,337/x
  3. Step 3: Cross multiply
    232,887x = 474,337 × 474,337
  4. Step 4: Simplify right side
    232,887x = 224,995,589,569
  5. Step 5: Solve for x
    x = 224,995,589,569/232,887
  6. Step 6: Final answer
    x = 966,114.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.