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Finding the Third Proportional to 200,032 and 472,190

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Solution

The third proportional to 200,032 and 472,190 is: 1,114,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,032 : 472,190 = 472,190 : x
  2. Step 2: Convert to fraction form
    200,032/472,190 = 472,190/x
  3. Step 3: Cross multiply
    200,032x = 472,190 × 472,190
  4. Step 4: Simplify right side
    200,032x = 222,963,396,100
  5. Step 5: Solve for x
    x = 222,963,396,100/200,032
  6. Step 6: Final answer
    x = 1,114,638.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.