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Finding the Third Proportional to 203,732 and 448,076

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Solution

The third proportional to 203,732 and 448,076 is: 985,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,732 : 448,076 = 448,076 : x
  2. Step 2: Convert to fraction form
    203,732/448,076 = 448,076/x
  3. Step 3: Cross multiply
    203,732x = 448,076 × 448,076
  4. Step 4: Simplify right side
    203,732x = 200,772,101,776
  5. Step 5: Solve for x
    x = 200,772,101,776/203,732
  6. Step 6: Final answer
    x = 985,471.61

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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.