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Finding the Third Proportional to 323,700 and 490,050

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Solution

The third proportional to 323,700 and 490,050 is: 741,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,700 : 490,050 = 490,050 : x
  2. Step 2: Convert to fraction form
    323,700/490,050 = 490,050/x
  3. Step 3: Cross multiply
    323,700x = 490,050 × 490,050
  4. Step 4: Simplify right side
    323,700x = 240,149,002,500
  5. Step 5: Solve for x
    x = 240,149,002,500/323,700
  6. Step 6: Final answer
    x = 741,887.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.