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Finding the Third Proportional to 226,023 and 497,245.50

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Solution

The third proportional to 226,023 and 497,245.50 is: 1,093,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,023 : 497,245.50 = 497,245.50 : x
  2. Step 2: Convert to fraction form
    226,023/497,245.50 = 497,245.50/x
  3. Step 3: Cross multiply
    226,023x = 497,245.50 × 497,245.50
  4. Step 4: Simplify right side
    226,023x = 247,253,087,270.25
  5. Step 5: Solve for x
    x = 247,253,087,270.25/226,023
  6. Step 6: Final answer
    x = 1,093,928.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.