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Finding the Third Proportional to 463 and 661.25

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Solution

The third proportional to 463 and 661.25 is: 944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 661.25 = 661.25 : x
  2. Step 2: Convert to fraction form
    463/661.25 = 661.25/x
  3. Step 3: Cross multiply
    463x = 661.25 × 661.25
  4. Step 4: Simplify right side
    463x = 437,251.56
  5. Step 5: Solve for x
    x = 437,251.56/463
  6. Step 6: Final answer
    x = 944.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.