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Finding the Third Proportional to 215,448 and 471,936

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Solution

The third proportional to 215,448 and 471,936 is: 1,033,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,448 : 471,936 = 471,936 : x
  2. Step 2: Convert to fraction form
    215,448/471,936 = 471,936/x
  3. Step 3: Cross multiply
    215,448x = 471,936 × 471,936
  4. Step 4: Simplify right side
    215,448x = 222,723,588,096
  5. Step 5: Solve for x
    x = 222,723,588,096/215,448
  6. Step 6: Final answer
    x = 1,033,769.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.