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Finding the Third Proportional to 400,831.11 and 834,833.86

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Solution

The third proportional to 400,831.11 and 834,833.86 is: 1,738,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,831.11 : 834,833.86 = 834,833.86 : x
  2. Step 2: Convert to fraction form
    400,831.11/834,833.86 = 834,833.86/x
  3. Step 3: Cross multiply
    400,831.11x = 834,833.86 × 834,833.86
  4. Step 4: Simplify right side
    400,831.11x = 696,947,567,867.37
  5. Step 5: Solve for x
    x = 696,947,567,867.37/400,831.11
  6. Step 6: Final answer
    x = 1,738,756.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.