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Finding the Third Proportional to 317,847 and 480,010.50

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Solution

The third proportional to 317,847 and 480,010.50 is: 724,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,847 : 480,010.50 = 480,010.50 : x
  2. Step 2: Convert to fraction form
    317,847/480,010.50 = 480,010.50/x
  3. Step 3: Cross multiply
    317,847x = 480,010.50 × 480,010.50
  4. Step 4: Simplify right side
    317,847x = 230,410,080,110.25
  5. Step 5: Solve for x
    x = 230,410,080,110.25/317,847
  6. Step 6: Final answer
    x = 724,908.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.