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Finding the Third Proportional to 460.75 and 656.38

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Solution

The third proportional to 460.75 and 656.38 is: 935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.75 : 656.38 = 656.38 : x
  2. Step 2: Convert to fraction form
    460.75/656.38 = 656.38/x
  3. Step 3: Cross multiply
    460.75x = 656.38 × 656.38
  4. Step 4: Simplify right side
    460.75x = 430,828.14
  5. Step 5: Solve for x
    x = 430,828.14/460.75
  6. Step 6: Final answer
    x = 935.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.