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Finding the Third Proportional to 451 and 498.25

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Solution

The third proportional to 451 and 498.25 is: 550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451 : 498.25 = 498.25 : x
  2. Step 2: Convert to fraction form
    451/498.25 = 498.25/x
  3. Step 3: Cross multiply
    451x = 498.25 × 498.25
  4. Step 4: Simplify right side
    451x = 248,253.06
  5. Step 5: Solve for x
    x = 248,253.06/451
  6. Step 6: Final answer
    x = 550.45

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.