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Finding the Third Proportional to 331,510 and 491,050

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Solution

The third proportional to 331,510 and 491,050 is: 727,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,510 : 491,050 = 491,050 : x
  2. Step 2: Convert to fraction form
    331,510/491,050 = 491,050/x
  3. Step 3: Cross multiply
    331,510x = 491,050 × 491,050
  4. Step 4: Simplify right side
    331,510x = 241,130,102,500
  5. Step 5: Solve for x
    x = 241,130,102,500/331,510
  6. Step 6: Final answer
    x = 727,369.02

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.