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Finding the Third Proportional to 400,867.50 and 834,904.50

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Solution

The third proportional to 400,867.50 and 834,904.50 is: 1,738,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,867.50 : 834,904.50 = 834,904.50 : x
  2. Step 2: Convert to fraction form
    400,867.50/834,904.50 = 834,904.50/x
  3. Step 3: Cross multiply
    400,867.50x = 834,904.50 × 834,904.50
  4. Step 4: Simplify right side
    400,867.50x = 697,065,524,120.25
  5. Step 5: Solve for x
    x = 697,065,524,120.25/400,867.50
  6. Step 6: Final answer
    x = 1,738,892.59

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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.