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Finding the Third Proportional to 217,181.25 and 471,754.13

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Solution

The third proportional to 217,181.25 and 471,754.13 is: 1,024,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,181.25 : 471,754.13 = 471,754.13 : x
  2. Step 2: Convert to fraction form
    217,181.25/471,754.13 = 471,754.13/x
  3. Step 3: Cross multiply
    217,181.25x = 471,754.13 × 471,754.13
  4. Step 4: Simplify right side
    217,181.25x = 222,551,954,454.52
  5. Step 5: Solve for x
    x = 222,551,954,454.52/217,181.25
  6. Step 6: Final answer
    x = 1,024,729.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.