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Finding the Third Proportional to 777.94 and 1,200.09

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Solution

The third proportional to 777.94 and 1,200.09 is: 1,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.94 : 1,200.09 = 1,200.09 : x
  2. Step 2: Convert to fraction form
    777.94/1,200.09 = 1,200.09/x
  3. Step 3: Cross multiply
    777.94x = 1,200.09 × 1,200.09
  4. Step 4: Simplify right side
    777.94x = 1,440,225.01
  5. Step 5: Solve for x
    x = 1,440,225.01/777.94
  6. Step 6: Final answer
    x = 1,851.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.