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Finding the Third Proportional to 226,432 and 474,896

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Solution

The third proportional to 226,432 and 474,896 is: 995,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,432 : 474,896 = 474,896 : x
  2. Step 2: Convert to fraction form
    226,432/474,896 = 474,896/x
  3. Step 3: Cross multiply
    226,432x = 474,896 × 474,896
  4. Step 4: Simplify right side
    226,432x = 225,526,210,816
  5. Step 5: Solve for x
    x = 225,526,210,816/226,432
  6. Step 6: Final answer
    x = 995,999.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.