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Finding the Third Proportional to 323,689.50 and 490,032

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Solution

The third proportional to 323,689.50 and 490,032 is: 741,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,689.50 : 490,032 = 490,032 : x
  2. Step 2: Convert to fraction form
    323,689.50/490,032 = 490,032/x
  3. Step 3: Cross multiply
    323,689.50x = 490,032 × 490,032
  4. Step 4: Simplify right side
    323,689.50x = 240,131,361,024
  5. Step 5: Solve for x
    x = 240,131,361,024/323,689.50
  6. Step 6: Final answer
    x = 741,857.12

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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.