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Finding the Third Proportional to 200,049.75 and 472,215.38

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Solution

The third proportional to 200,049.75 and 472,215.38 is: 1,114,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,049.75 : 472,215.38 = 472,215.38 : x
  2. Step 2: Convert to fraction form
    200,049.75/472,215.38 = 472,215.38/x
  3. Step 3: Cross multiply
    200,049.75x = 472,215.38 × 472,215.38
  4. Step 4: Simplify right side
    200,049.75x = 222,987,360,386.39
  5. Step 5: Solve for x
    x = 222,987,360,386.39/200,049.75
  6. Step 6: Final answer
    x = 1,114,659.53

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