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Finding the Third Proportional to 261.56 and 649.41

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Solution

The third proportional to 261.56 and 649.41 is: 1,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 649.41 = 649.41 : x
  2. Step 2: Convert to fraction form
    261.56/649.41 = 649.41/x
  3. Step 3: Cross multiply
    261.56x = 649.41 × 649.41
  4. Step 4: Simplify right side
    261.56x = 421,728.48
  5. Step 5: Solve for x
    x = 421,728.48/261.56
  6. Step 6: Final answer
    x = 1,612.34

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.