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Finding the Third Proportional to 313,062.75 and 472,499.44

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Solution

The third proportional to 313,062.75 and 472,499.44 is: 713,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,062.75 : 472,499.44 = 472,499.44 : x
  2. Step 2: Convert to fraction form
    313,062.75/472,499.44 = 472,499.44/x
  3. Step 3: Cross multiply
    313,062.75x = 472,499.44 × 472,499.44
  4. Step 4: Simplify right side
    313,062.75x = 223,255,718,437.82
  5. Step 5: Solve for x
    x = 223,255,718,437.82/313,062.75
  6. Step 6: Final answer
    x = 713,134.09

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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.