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Finding the Third Proportional to 226,719 and 497,704.50

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Solution

The third proportional to 226,719 and 497,704.50 is: 1,092,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,719 : 497,704.50 = 497,704.50 : x
  2. Step 2: Convert to fraction form
    226,719/497,704.50 = 497,704.50/x
  3. Step 3: Cross multiply
    226,719x = 497,704.50 × 497,704.50
  4. Step 4: Simplify right side
    226,719x = 247,709,769,320.25
  5. Step 5: Solve for x
    x = 247,709,769,320.25/226,719
  6. Step 6: Final answer
    x = 1,092,584.96

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