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Finding the Third Proportional to 203,709 and 448,026

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Solution

The third proportional to 203,709 and 448,026 is: 985,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,709 : 448,026 = 448,026 : x
  2. Step 2: Convert to fraction form
    203,709/448,026 = 448,026/x
  3. Step 3: Cross multiply
    203,709x = 448,026 × 448,026
  4. Step 4: Simplify right side
    203,709x = 200,727,296,676
  5. Step 5: Solve for x
    x = 200,727,296,676/203,709
  6. Step 6: Final answer
    x = 985,362.93

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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.