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Finding the Third Proportional to 513.56 and 719.44

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Solution

The third proportional to 513.56 and 719.44 is: 1,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.56 : 719.44 = 719.44 : x
  2. Step 2: Convert to fraction form
    513.56/719.44 = 719.44/x
  3. Step 3: Cross multiply
    513.56x = 719.44 × 719.44
  4. Step 4: Simplify right side
    513.56x = 517,590.32
  5. Step 5: Solve for x
    x = 517,590.32/513.56
  6. Step 6: Final answer
    x = 1,007.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.