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Finding the Third Proportional to 511.13 and 749.63

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Solution

The third proportional to 511.13 and 749.63 is: 1,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.13 : 749.63 = 749.63 : x
  2. Step 2: Convert to fraction form
    511.13/749.63 = 749.63/x
  3. Step 3: Cross multiply
    511.13x = 749.63 × 749.63
  4. Step 4: Simplify right side
    511.13x = 561,937.64
  5. Step 5: Solve for x
    x = 561,937.64/511.13
  6. Step 6: Final answer
    x = 1,099.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.