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Finding the Third Proportional to 368,408 and 660,992

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Solution

The third proportional to 368,408 and 660,992 is: 1,185,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,408 : 660,992 = 660,992 : x
  2. Step 2: Convert to fraction form
    368,408/660,992 = 660,992/x
  3. Step 3: Cross multiply
    368,408x = 660,992 × 660,992
  4. Step 4: Simplify right side
    368,408x = 436,910,424,064
  5. Step 5: Solve for x
    x = 436,910,424,064/368,408
  6. Step 6: Final answer
    x = 1,185,941.74

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.