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Finding the Third Proportional to 451,601 and 664,925

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Solution

The third proportional to 451,601 and 664,925 is: 979,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,601 : 664,925 = 664,925 : x
  2. Step 2: Convert to fraction form
    451,601/664,925 = 664,925/x
  3. Step 3: Cross multiply
    451,601x = 664,925 × 664,925
  4. Step 4: Simplify right side
    451,601x = 442,125,255,625
  5. Step 5: Solve for x
    x = 442,125,255,625/451,601
  6. Step 6: Final answer
    x = 979,017.44

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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.