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Finding the Third Proportional to 217,109.25 and 471,354.75

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Solution

The third proportional to 217,109.25 and 471,354.75 is: 1,023,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,109.25 : 471,354.75 = 471,354.75 : x
  2. Step 2: Convert to fraction form
    217,109.25/471,354.75 = 471,354.75/x
  3. Step 3: Cross multiply
    217,109.25x = 471,354.75 × 471,354.75
  4. Step 4: Simplify right side
    217,109.25x = 222,175,300,347.56
  5. Step 5: Solve for x
    x = 222,175,300,347.56/217,109.25
  6. Step 6: Final answer
    x = 1,023,334.11

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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.