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Finding the Third Proportional to 361,788.75 and 531,843.75

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Solution

The third proportional to 361,788.75 and 531,843.75 is: 781,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,788.75 : 531,843.75 = 531,843.75 : x
  2. Step 2: Convert to fraction form
    361,788.75/531,843.75 = 531,843.75/x
  3. Step 3: Cross multiply
    361,788.75x = 531,843.75 × 531,843.75
  4. Step 4: Simplify right side
    361,788.75x = 282,857,774,414.06
  5. Step 5: Solve for x
    x = 282,857,774,414.06/361,788.75
  6. Step 6: Final answer
    x = 781,831.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.