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Finding the Third Proportional to 495.49 and 1,042.24

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Solution

The third proportional to 495.49 and 1,042.24 is: 2,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.49 : 1,042.24 = 1,042.24 : x
  2. Step 2: Convert to fraction form
    495.49/1,042.24 = 1,042.24/x
  3. Step 3: Cross multiply
    495.49x = 1,042.24 × 1,042.24
  4. Step 4: Simplify right side
    495.49x = 1,086,268.78
  5. Step 5: Solve for x
    x = 1,086,268.78/495.49
  6. Step 6: Final answer
    x = 2,192.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.