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Finding the Third Proportional to 714 and 819.75

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Solution

The third proportional to 714 and 819.75 is: 941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714 : 819.75 = 819.75 : x
  2. Step 2: Convert to fraction form
    714/819.75 = 819.75/x
  3. Step 3: Cross multiply
    714x = 819.75 × 819.75
  4. Step 4: Simplify right side
    714x = 671,990.06
  5. Step 5: Solve for x
    x = 671,990.06/714
  6. Step 6: Final answer
    x = 941.16

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.