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Finding the Third Proportional to 230,086 and 471,332

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Solution

The third proportional to 230,086 and 471,332 is: 965,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,086 : 471,332 = 471,332 : x
  2. Step 2: Convert to fraction form
    230,086/471,332 = 471,332/x
  3. Step 3: Cross multiply
    230,086x = 471,332 × 471,332
  4. Step 4: Simplify right side
    230,086x = 222,153,854,224
  5. Step 5: Solve for x
    x = 222,153,854,224/230,086
  6. Step 6: Final answer
    x = 965,525.30

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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.