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Finding the Third Proportional to 514.69 and 819.28

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Solution

The third proportional to 514.69 and 819.28 is: 1,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 819.28 = 819.28 : x
  2. Step 2: Convert to fraction form
    514.69/819.28 = 819.28/x
  3. Step 3: Cross multiply
    514.69x = 819.28 × 819.28
  4. Step 4: Simplify right side
    514.69x = 671,221.77
  5. Step 5: Solve for x
    x = 671,221.77/514.69
  6. Step 6: Final answer
    x = 1,304.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.