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Finding the Third Proportional to 203,982 and 448,746

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Solution

The third proportional to 203,982 and 448,746 is: 987,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,982 : 448,746 = 448,746 : x
  2. Step 2: Convert to fraction form
    203,982/448,746 = 448,746/x
  3. Step 3: Cross multiply
    203,982x = 448,746 × 448,746
  4. Step 4: Simplify right side
    203,982x = 201,372,972,516
  5. Step 5: Solve for x
    x = 201,372,972,516/203,982
  6. Step 6: Final answer
    x = 987,209.52

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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.