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Finding the Third Proportional to 217,115 and 471,365.50

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Solution

The third proportional to 217,115 and 471,365.50 is: 1,023,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,115 : 471,365.50 = 471,365.50 : x
  2. Step 2: Convert to fraction form
    217,115/471,365.50 = 471,365.50/x
  3. Step 3: Cross multiply
    217,115x = 471,365.50 × 471,365.50
  4. Step 4: Simplify right side
    217,115x = 222,185,434,590.25
  5. Step 5: Solve for x
    x = 222,185,434,590.25/217,115
  6. Step 6: Final answer
    x = 1,023,353.68

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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.