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Finding the Third Proportional to 777.09 and 1,707.33

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Solution

The third proportional to 777.09 and 1,707.33 is: 3,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.09 : 1,707.33 = 1,707.33 : x
  2. Step 2: Convert to fraction form
    777.09/1,707.33 = 1,707.33/x
  3. Step 3: Cross multiply
    777.09x = 1,707.33 × 1,707.33
  4. Step 4: Simplify right side
    777.09x = 2,914,969.33
  5. Step 5: Solve for x
    x = 2,914,969.33/777.09
  6. Step 6: Final answer
    x = 3,751.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.