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Finding the Third Proportional to 202,440 and 443,015.50

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Solution

The third proportional to 202,440 and 443,015.50 is: 969,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,440 : 443,015.50 = 443,015.50 : x
  2. Step 2: Convert to fraction form
    202,440/443,015.50 = 443,015.50/x
  3. Step 3: Cross multiply
    202,440x = 443,015.50 × 443,015.50
  4. Step 4: Simplify right side
    202,440x = 196,262,733,240.25
  5. Step 5: Solve for x
    x = 196,262,733,240.25/202,440
  6. Step 6: Final answer
    x = 969,485.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.