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Finding the Third Proportional to 232,229 and 474,298

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Solution

The third proportional to 232,229 and 474,298 is: 968,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,229 : 474,298 = 474,298 : x
  2. Step 2: Convert to fraction form
    232,229/474,298 = 474,298/x
  3. Step 3: Cross multiply
    232,229x = 474,298 × 474,298
  4. Step 4: Simplify right side
    232,229x = 224,958,592,804
  5. Step 5: Solve for x
    x = 224,958,592,804/232,229
  6. Step 6: Final answer
    x = 968,692.94

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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.