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Finding the Third Proportional to 611,626.50 and 944,709.75

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Solution

The third proportional to 611,626.50 and 944,709.75 is: 1,459,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,626.50 : 944,709.75 = 944,709.75 : x
  2. Step 2: Convert to fraction form
    611,626.50/944,709.75 = 944,709.75/x
  3. Step 3: Cross multiply
    611,626.50x = 944,709.75 × 944,709.75
  4. Step 4: Simplify right side
    611,626.50x = 892,476,511,745.06
  5. Step 5: Solve for x
    x = 892,476,511,745.06/611,626.50
  6. Step 6: Final answer
    x = 1,459,185.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.