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Finding the Third Proportional to 756.98 and 1,605.73

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Solution

The third proportional to 756.98 and 1,605.73 is: 3,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.98 : 1,605.73 = 1,605.73 : x
  2. Step 2: Convert to fraction form
    756.98/1,605.73 = 1,605.73/x
  3. Step 3: Cross multiply
    756.98x = 1,605.73 × 1,605.73
  4. Step 4: Simplify right side
    756.98x = 2,578,357.79
  5. Step 5: Solve for x
    x = 2,578,357.79/756.98
  6. Step 6: Final answer
    x = 3,406.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.