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Finding the Third Proportional to 217,168 and 471,464

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Solution

The third proportional to 217,168 and 471,464 is: 1,023,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,168 : 471,464 = 471,464 : x
  2. Step 2: Convert to fraction form
    217,168/471,464 = 471,464/x
  3. Step 3: Cross multiply
    217,168x = 471,464 × 471,464
  4. Step 4: Simplify right side
    217,168x = 222,278,303,296
  5. Step 5: Solve for x
    x = 222,278,303,296/217,168
  6. Step 6: Final answer
    x = 1,023,531.57

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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.