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Finding the Third Proportional to 775.69 and 1,302.84

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Solution

The third proportional to 775.69 and 1,302.84 is: 2,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.69 : 1,302.84 = 1,302.84 : x
  2. Step 2: Convert to fraction form
    775.69/1,302.84 = 1,302.84/x
  3. Step 3: Cross multiply
    775.69x = 1,302.84 × 1,302.84
  4. Step 4: Simplify right side
    775.69x = 1,697,401.84
  5. Step 5: Solve for x
    x = 1,697,401.84/775.69
  6. Step 6: Final answer
    x = 2,188.25

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.