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Finding the Third Proportional to 217,758.38 and 468,891.28

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Solution

The third proportional to 217,758.38 and 468,891.28 is: 1,009,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,758.38 : 468,891.28 = 468,891.28 : x
  2. Step 2: Convert to fraction form
    217,758.38/468,891.28 = 468,891.28/x
  3. Step 3: Cross multiply
    217,758.38x = 468,891.28 × 468,891.28
  4. Step 4: Simplify right side
    217,758.38x = 219,859,033,632.27
  5. Step 5: Solve for x
    x = 219,859,033,632.27/217,758.38
  6. Step 6: Final answer
    x = 1,009,646.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.