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Finding the Third Proportional to 202,378.13 and 445,504.13

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Solution

The third proportional to 202,378.13 and 445,504.13 is: 980,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,378.13 : 445,504.13 = 445,504.13 : x
  2. Step 2: Convert to fraction form
    202,378.13/445,504.13 = 445,504.13/x
  3. Step 3: Cross multiply
    202,378.13x = 445,504.13 × 445,504.13
  4. Step 4: Simplify right side
    202,378.13x = 198,473,925,392.02
  5. Step 5: Solve for x
    x = 198,473,925,392.02/202,378.13
  6. Step 6: Final answer
    x = 980,708.39

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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.