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Finding the Third Proportional to 765 and 798.75

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Solution

The third proportional to 765 and 798.75 is: 833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    765 : 798.75 = 798.75 : x
  2. Step 2: Convert to fraction form
    765/798.75 = 798.75/x
  3. Step 3: Cross multiply
    765x = 798.75 × 798.75
  4. Step 4: Simplify right side
    765x = 638,001.56
  5. Step 5: Solve for x
    x = 638,001.56/765
  6. Step 6: Final answer
    x = 833.99

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.