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Finding the Third Proportional to 217,117.50 and 471,370.50

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Solution

The third proportional to 217,117.50 and 471,370.50 is: 1,023,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,117.50 : 471,370.50 = 471,370.50 : x
  2. Step 2: Convert to fraction form
    217,117.50/471,370.50 = 471,370.50/x
  3. Step 3: Cross multiply
    217,117.50x = 471,370.50 × 471,370.50
  4. Step 4: Simplify right side
    217,117.50x = 222,190,148,270.25
  5. Step 5: Solve for x
    x = 222,190,148,270.25/217,117.50
  6. Step 6: Final answer
    x = 1,023,363.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.