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Finding the Third Proportional to 777 and 1,023

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Solution

The third proportional to 777 and 1,023 is: 1,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    777 : 1,023 = 1,023 : x
  2. Step 2: Convert to fraction form
    777/1,023 = 1,023/x
  3. Step 3: Cross multiply
    777x = 1,023 × 1,023
  4. Step 4: Simplify right side
    777x = 1,046,529
  5. Step 5: Solve for x
    x = 1,046,529/777
  6. Step 6: Final answer
    x = 1,346.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.