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Finding the Third Proportional to 313,733.25 and 480,016.13

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Solution

The third proportional to 313,733.25 and 480,016.13 is: 734,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,733.25 : 480,016.13 = 480,016.13 : x
  2. Step 2: Convert to fraction form
    313,733.25/480,016.13 = 480,016.13/x
  3. Step 3: Cross multiply
    313,733.25x = 480,016.13 × 480,016.13
  4. Step 4: Simplify right side
    313,733.25x = 230,415,480,260.02
  5. Step 5: Solve for x
    x = 230,415,480,260.02/313,733.25
  6. Step 6: Final answer
    x = 734,431.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.