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Finding the Third Proportional to 202,530 and 468,871.50

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Solution

The third proportional to 202,530 and 468,871.50 is: 1,085,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,530 : 468,871.50 = 468,871.50 : x
  2. Step 2: Convert to fraction form
    202,530/468,871.50 = 468,871.50/x
  3. Step 3: Cross multiply
    202,530x = 468,871.50 × 468,871.50
  4. Step 4: Simplify right side
    202,530x = 219,840,483,512.25
  5. Step 5: Solve for x
    x = 219,840,483,512.25/202,530
  6. Step 6: Final answer
    x = 1,085,471.21

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.