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Finding the Third Proportional to 520.69 and 1,089.19

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Solution

The third proportional to 520.69 and 1,089.19 is: 2,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.69 : 1,089.19 = 1,089.19 : x
  2. Step 2: Convert to fraction form
    520.69/1,089.19 = 1,089.19/x
  3. Step 3: Cross multiply
    520.69x = 1,089.19 × 1,089.19
  4. Step 4: Simplify right side
    520.69x = 1,186,329.41
  5. Step 5: Solve for x
    x = 1,186,329.41/520.69
  6. Step 6: Final answer
    x = 2,278.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.