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Finding the Third Proportional to 226,374.50 and 474,781

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Solution

The third proportional to 226,374.50 and 474,781 is: 995,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,374.50 : 474,781 = 474,781 : x
  2. Step 2: Convert to fraction form
    226,374.50/474,781 = 474,781/x
  3. Step 3: Cross multiply
    226,374.50x = 474,781 × 474,781
  4. Step 4: Simplify right side
    226,374.50x = 225,416,997,961
  5. Step 5: Solve for x
    x = 225,416,997,961/226,374.50
  6. Step 6: Final answer
    x = 995,770.27

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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.