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Finding the Third Proportional to 751.78 and 1,024.37

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Solution

The third proportional to 751.78 and 1,024.37 is: 1,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.78 : 1,024.37 = 1,024.37 : x
  2. Step 2: Convert to fraction form
    751.78/1,024.37 = 1,024.37/x
  3. Step 3: Cross multiply
    751.78x = 1,024.37 × 1,024.37
  4. Step 4: Simplify right side
    751.78x = 1,049,324.13
  5. Step 5: Solve for x
    x = 1,049,324.13/751.78
  6. Step 6: Final answer
    x = 1,395.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.