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Finding the Third Proportional to 497.63 and 1,071.38

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Solution

The third proportional to 497.63 and 1,071.38 is: 2,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.63 : 1,071.38 = 1,071.38 : x
  2. Step 2: Convert to fraction form
    497.63/1,071.38 = 1,071.38/x
  3. Step 3: Cross multiply
    497.63x = 1,071.38 × 1,071.38
  4. Step 4: Simplify right side
    497.63x = 1,147,844.39
  5. Step 5: Solve for x
    x = 1,147,844.39/497.63
  6. Step 6: Final answer
    x = 2,306.65

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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.