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Finding the Third Proportional to 247,218.75 and 532,831.50

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Solution

The third proportional to 247,218.75 and 532,831.50 is: 1,148,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,218.75 : 532,831.50 = 532,831.50 : x
  2. Step 2: Convert to fraction form
    247,218.75/532,831.50 = 532,831.50/x
  3. Step 3: Cross multiply
    247,218.75x = 532,831.50 × 532,831.50
  4. Step 4: Simplify right side
    247,218.75x = 283,909,407,392.25
  5. Step 5: Solve for x
    x = 283,909,407,392.25/247,218.75
  6. Step 6: Final answer
    x = 1,148,413.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.