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Finding the Third Proportional to 400,848.75 and 834,867

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Solution

The third proportional to 400,848.75 and 834,867 is: 1,738,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,848.75 : 834,867 = 834,867 : x
  2. Step 2: Convert to fraction form
    400,848.75/834,867 = 834,867/x
  3. Step 3: Cross multiply
    400,848.75x = 834,867 × 834,867
  4. Step 4: Simplify right side
    400,848.75x = 697,002,907,689
  5. Step 5: Solve for x
    x = 697,002,907,689/400,848.75
  6. Step 6: Final answer
    x = 1,738,817.72

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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.