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Finding the Third Proportional to 492.75 and 1,057.22

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Solution

The third proportional to 492.75 and 1,057.22 is: 2,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 1,057.22 = 1,057.22 : x
  2. Step 2: Convert to fraction form
    492.75/1,057.22 = 1,057.22/x
  3. Step 3: Cross multiply
    492.75x = 1,057.22 × 1,057.22
  4. Step 4: Simplify right side
    492.75x = 1,117,711.49
  5. Step 5: Solve for x
    x = 1,117,711.49/492.75
  6. Step 6: Final answer
    x = 2,268.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.