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Finding the Third Proportional to 467,317 and 700,183.50

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Solution

The third proportional to 467,317 and 700,183.50 is: 1,049,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,317 : 700,183.50 = 700,183.50 : x
  2. Step 2: Convert to fraction form
    467,317/700,183.50 = 700,183.50/x
  3. Step 3: Cross multiply
    467,317x = 700,183.50 × 700,183.50
  4. Step 4: Simplify right side
    467,317x = 490,256,933,672.25
  5. Step 5: Solve for x
    x = 490,256,933,672.25/467,317
  6. Step 6: Final answer
    x = 1,049,088.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.