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Finding the Third Proportional to 352,255.50 and 471,879

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Solution

The third proportional to 352,255.50 and 471,879 is: 632,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,255.50 : 471,879 = 471,879 : x
  2. Step 2: Convert to fraction form
    352,255.50/471,879 = 471,879/x
  3. Step 3: Cross multiply
    352,255.50x = 471,879 × 471,879
  4. Step 4: Simplify right side
    352,255.50x = 222,669,790,641
  5. Step 5: Solve for x
    x = 222,669,790,641/352,255.50
  6. Step 6: Final answer
    x = 632,125.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.