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Finding the Third Proportional to 776.63 and 1,689.56

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Solution

The third proportional to 776.63 and 1,689.56 is: 3,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.63 : 1,689.56 = 1,689.56 : x
  2. Step 2: Convert to fraction form
    776.63/1,689.56 = 1,689.56/x
  3. Step 3: Cross multiply
    776.63x = 1,689.56 × 1,689.56
  4. Step 4: Simplify right side
    776.63x = 2,854,621.44
  5. Step 5: Solve for x
    x = 2,854,621.44/776.63
  6. Step 6: Final answer
    x = 3,675.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.