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Finding the Third Proportional to 317,826 and 471,241

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Solution

The third proportional to 317,826 and 471,241 is: 698,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,826 : 471,241 = 471,241 : x
  2. Step 2: Convert to fraction form
    317,826/471,241 = 471,241/x
  3. Step 3: Cross multiply
    317,826x = 471,241 × 471,241
  4. Step 4: Simplify right side
    317,826x = 222,068,080,081
  5. Step 5: Solve for x
    x = 222,068,080,081/317,826
  6. Step 6: Final answer
    x = 698,709.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.