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Finding the Third Proportional to 230,085 and 471,322

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Solution

The third proportional to 230,085 and 471,322 is: 965,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,085 : 471,322 = 471,322 : x
  2. Step 2: Convert to fraction form
    230,085/471,322 = 471,322/x
  3. Step 3: Cross multiply
    230,085x = 471,322 × 471,322
  4. Step 4: Simplify right side
    230,085x = 222,144,427,684
  5. Step 5: Solve for x
    x = 222,144,427,684/230,085
  6. Step 6: Final answer
    x = 965,488.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.