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Finding the Third Proportional to 777.73 and 1,204.24

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Solution

The third proportional to 777.73 and 1,204.24 is: 1,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.73 : 1,204.24 = 1,204.24 : x
  2. Step 2: Convert to fraction form
    777.73/1,204.24 = 1,204.24/x
  3. Step 3: Cross multiply
    777.73x = 1,204.24 × 1,204.24
  4. Step 4: Simplify right side
    777.73x = 1,450,199.25
  5. Step 5: Solve for x
    x = 1,450,199.25/777.73
  6. Step 6: Final answer
    x = 1,864.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.