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Finding the Third Proportional to 224,091 and 468,958.50

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Solution

The third proportional to 224,091 and 468,958.50 is: 981,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,091 : 468,958.50 = 468,958.50 : x
  2. Step 2: Convert to fraction form
    224,091/468,958.50 = 468,958.50/x
  3. Step 3: Cross multiply
    224,091x = 468,958.50 × 468,958.50
  4. Step 4: Simplify right side
    224,091x = 219,922,074,722.25
  5. Step 5: Solve for x
    x = 219,922,074,722.25/224,091
  6. Step 6: Final answer
    x = 981,396.28

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.