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Finding the Third Proportional to 232,887 and 474,338

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Solution

The third proportional to 232,887 and 474,338 is: 966,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,887 : 474,338 = 474,338 : x
  2. Step 2: Convert to fraction form
    232,887/474,338 = 474,338/x
  3. Step 3: Cross multiply
    232,887x = 474,338 × 474,338
  4. Step 4: Simplify right side
    232,887x = 224,996,538,244
  5. Step 5: Solve for x
    x = 224,996,538,244/232,887
  6. Step 6: Final answer
    x = 966,118.93

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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.