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Finding the Third Proportional to 200,801 and 472,356

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Solution

The third proportional to 200,801 and 472,356 is: 1,111,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,801 : 472,356 = 472,356 : x
  2. Step 2: Convert to fraction form
    200,801/472,356 = 472,356/x
  3. Step 3: Cross multiply
    200,801x = 472,356 × 472,356
  4. Step 4: Simplify right side
    200,801x = 223,120,190,736
  5. Step 5: Solve for x
    x = 223,120,190,736/200,801
  6. Step 6: Final answer
    x = 1,111,150.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.