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Finding the Third Proportional to 505.69 and 872.44

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Solution

The third proportional to 505.69 and 872.44 is: 1,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 872.44 = 872.44 : x
  2. Step 2: Convert to fraction form
    505.69/872.44 = 872.44/x
  3. Step 3: Cross multiply
    505.69x = 872.44 × 872.44
  4. Step 4: Simplify right side
    505.69x = 761,147.19
  5. Step 5: Solve for x
    x = 761,147.19/505.69
  6. Step 6: Final answer
    x = 1,505.17

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.