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Finding the Third Proportional to 399,309.75 and 442,639.69

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Solution

The third proportional to 399,309.75 and 442,639.69 is: 490,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,309.75 : 442,639.69 = 442,639.69 : x
  2. Step 2: Convert to fraction form
    399,309.75/442,639.69 = 442,639.69/x
  3. Step 3: Cross multiply
    399,309.75x = 442,639.69 × 442,639.69
  4. Step 4: Simplify right side
    399,309.75x = 195,929,892,950.10
  5. Step 5: Solve for x
    x = 195,929,892,950.10/399,309.75
  6. Step 6: Final answer
    x = 490,671.45

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.