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Finding the Third Proportional to 269,831.25 and 593,993.25

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Solution

The third proportional to 269,831.25 and 593,993.25 is: 1,307,587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,831.25 : 593,993.25 = 593,993.25 : x
  2. Step 2: Convert to fraction form
    269,831.25/593,993.25 = 593,993.25/x
  3. Step 3: Cross multiply
    269,831.25x = 593,993.25 × 593,993.25
  4. Step 4: Simplify right side
    269,831.25x = 352,827,981,045.56
  5. Step 5: Solve for x
    x = 352,827,981,045.56/269,831.25
  6. Step 6: Final answer
    x = 1,307,587.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.