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Finding the Third Proportional to 511 and 748

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Solution

The third proportional to 511 and 748 is: 1,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511 : 748 = 748 : x
  2. Step 2: Convert to fraction form
    511/748 = 748/x
  3. Step 3: Cross multiply
    511x = 748 × 748
  4. Step 4: Simplify right side
    511x = 559,504
  5. Step 5: Solve for x
    x = 559,504/511
  6. Step 6: Final answer
    x = 1,094.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.