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Finding the Third Proportional to 451,599.50 and 664,923

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Solution

The third proportional to 451,599.50 and 664,923 is: 979,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,599.50 : 664,923 = 664,923 : x
  2. Step 2: Convert to fraction form
    451,599.50/664,923 = 664,923/x
  3. Step 3: Cross multiply
    451,599.50x = 664,923 × 664,923
  4. Step 4: Simplify right side
    451,599.50x = 442,122,595,929
  5. Step 5: Solve for x
    x = 442,122,595,929/451,599.50
  6. Step 6: Final answer
    x = 979,014.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.