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Finding the Third Proportional to 232,896 and 474,358

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Solution

The third proportional to 232,896 and 474,358 is: 966,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,896 : 474,358 = 474,358 : x
  2. Step 2: Convert to fraction form
    232,896/474,358 = 474,358/x
  3. Step 3: Cross multiply
    232,896x = 474,358 × 474,358
  4. Step 4: Simplify right side
    232,896x = 225,015,512,164
  5. Step 5: Solve for x
    x = 225,015,512,164/232,896
  6. Step 6: Final answer
    x = 966,163.06

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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.