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Finding the Third Proportional to 324,456.50 and 698,831.50

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Solution

The third proportional to 324,456.50 and 698,831.50 is: 1,505,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,456.50 : 698,831.50 = 698,831.50 : x
  2. Step 2: Convert to fraction form
    324,456.50/698,831.50 = 698,831.50/x
  3. Step 3: Cross multiply
    324,456.50x = 698,831.50 × 698,831.50
  4. Step 4: Simplify right side
    324,456.50x = 488,365,465,392.25
  5. Step 5: Solve for x
    x = 488,365,465,392.25/324,456.50
  6. Step 6: Final answer
    x = 1,505,180.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.