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Finding the Third Proportional to 495.75 and 1,071.75

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Solution

The third proportional to 495.75 and 1,071.75 is: 2,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.75 : 1,071.75 = 1,071.75 : x
  2. Step 2: Convert to fraction form
    495.75/1,071.75 = 1,071.75/x
  3. Step 3: Cross multiply
    495.75x = 1,071.75 × 1,071.75
  4. Step 4: Simplify right side
    495.75x = 1,148,648.06
  5. Step 5: Solve for x
    x = 1,148,648.06/495.75
  6. Step 6: Final answer
    x = 2,316.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.