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Finding the Third Proportional to 387,772.50 and 582,067.50

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Solution

The third proportional to 387,772.50 and 582,067.50 is: 873,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,772.50 : 582,067.50 = 582,067.50 : x
  2. Step 2: Convert to fraction form
    387,772.50/582,067.50 = 582,067.50/x
  3. Step 3: Cross multiply
    387,772.50x = 582,067.50 × 582,067.50
  4. Step 4: Simplify right side
    387,772.50x = 338,802,574,556.25
  5. Step 5: Solve for x
    x = 338,802,574,556.25/387,772.50
  6. Step 6: Final answer
    x = 873,714.81

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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.