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Finding the Third Proportional to 751 and 1,057

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Solution

The third proportional to 751 and 1,057 is: 1,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    751 : 1,057 = 1,057 : x
  2. Step 2: Convert to fraction form
    751/1,057 = 1,057/x
  3. Step 3: Cross multiply
    751x = 1,057 × 1,057
  4. Step 4: Simplify right side
    751x = 1,117,249
  5. Step 5: Solve for x
    x = 1,117,249/751
  6. Step 6: Final answer
    x = 1,487.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.