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Finding the Third Proportional to 710.38 and 1,519.44

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Solution

The third proportional to 710.38 and 1,519.44 is: 3,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.38 : 1,519.44 = 1,519.44 : x
  2. Step 2: Convert to fraction form
    710.38/1,519.44 = 1,519.44/x
  3. Step 3: Cross multiply
    710.38x = 1,519.44 × 1,519.44
  4. Step 4: Simplify right side
    710.38x = 2,308,690.32
  5. Step 5: Solve for x
    x = 2,308,690.32/710.38
  6. Step 6: Final answer
    x = 3,249.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.