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Finding the Third Proportional to 499.25 and 1,026.75

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Solution

The third proportional to 499.25 and 1,026.75 is: 2,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.25 : 1,026.75 = 1,026.75 : x
  2. Step 2: Convert to fraction form
    499.25/1,026.75 = 1,026.75/x
  3. Step 3: Cross multiply
    499.25x = 1,026.75 × 1,026.75
  4. Step 4: Simplify right side
    499.25x = 1,054,215.56
  5. Step 5: Solve for x
    x = 1,054,215.56/499.25
  6. Step 6: Final answer
    x = 2,111.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.