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Finding the Third Proportional to 777.19 and 1,372.69

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Solution

The third proportional to 777.19 and 1,372.69 is: 2,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.19 : 1,372.69 = 1,372.69 : x
  2. Step 2: Convert to fraction form
    777.19/1,372.69 = 1,372.69/x
  3. Step 3: Cross multiply
    777.19x = 1,372.69 × 1,372.69
  4. Step 4: Simplify right side
    777.19x = 1,884,270.97
  5. Step 5: Solve for x
    x = 1,884,270.97/777.19
  6. Step 6: Final answer
    x = 2,424.47

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.