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Finding the Third Proportional to 761.75 and 1,644.25

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Solution

The third proportional to 761.75 and 1,644.25 is: 3,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.75 : 1,644.25 = 1,644.25 : x
  2. Step 2: Convert to fraction form
    761.75/1,644.25 = 1,644.25/x
  3. Step 3: Cross multiply
    761.75x = 1,644.25 × 1,644.25
  4. Step 4: Simplify right side
    761.75x = 2,703,558.06
  5. Step 5: Solve for x
    x = 2,703,558.06/761.75
  6. Step 6: Final answer
    x = 3,549.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.