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Finding the Third Proportional to 757.94 and 1,208.56

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Solution

The third proportional to 757.94 and 1,208.56 is: 1,927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.94 : 1,208.56 = 1,208.56 : x
  2. Step 2: Convert to fraction form
    757.94/1,208.56 = 1,208.56/x
  3. Step 3: Cross multiply
    757.94x = 1,208.56 × 1,208.56
  4. Step 4: Simplify right side
    757.94x = 1,460,623.32
  5. Step 5: Solve for x
    x = 1,460,623.32/757.94
  6. Step 6: Final answer
    x = 1,927.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.