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Finding the Third Proportional to 203,720 and 448,052

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Solution

The third proportional to 203,720 and 448,052 is: 985,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,720 : 448,052 = 448,052 : x
  2. Step 2: Convert to fraction form
    203,720/448,052 = 448,052/x
  3. Step 3: Cross multiply
    203,720x = 448,052 × 448,052
  4. Step 4: Simplify right side
    203,720x = 200,750,594,704
  5. Step 5: Solve for x
    x = 200,750,594,704/203,720
  6. Step 6: Final answer
    x = 985,424.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.