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Finding the Third Proportional to 422,988.75 and 880,831.13

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Solution

The third proportional to 422,988.75 and 880,831.13 is: 1,834,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,988.75 : 880,831.13 = 880,831.13 : x
  2. Step 2: Convert to fraction form
    422,988.75/880,831.13 = 880,831.13/x
  3. Step 3: Cross multiply
    422,988.75x = 880,831.13 × 880,831.13
  4. Step 4: Simplify right side
    422,988.75x = 775,863,470,768.77
  5. Step 5: Solve for x
    x = 775,863,470,768.77/422,988.75
  6. Step 6: Final answer
    x = 1,834,241.39

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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.