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Finding the Third Proportional to 202,429.50 and 435,505.50

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Solution

The third proportional to 202,429.50 and 435,505.50 is: 936,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,429.50 : 435,505.50 = 435,505.50 : x
  2. Step 2: Convert to fraction form
    202,429.50/435,505.50 = 435,505.50/x
  3. Step 3: Cross multiply
    202,429.50x = 435,505.50 × 435,505.50
  4. Step 4: Simplify right side
    202,429.50x = 189,665,040,530.25
  5. Step 5: Solve for x
    x = 189,665,040,530.25/202,429.50
  6. Step 6: Final answer
    x = 936,943.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.