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Finding the Third Proportional to 173,494 and 401,608

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Solution

The third proportional to 173,494 and 401,608 is: 929,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,494 : 401,608 = 401,608 : x
  2. Step 2: Convert to fraction form
    173,494/401,608 = 401,608/x
  3. Step 3: Cross multiply
    173,494x = 401,608 × 401,608
  4. Step 4: Simplify right side
    173,494x = 161,288,985,664
  5. Step 5: Solve for x
    x = 161,288,985,664/173,494
  6. Step 6: Final answer
    x = 929,651.66

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.