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Finding the Third Proportional to 569.88 and 814.92

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Solution

The third proportional to 569.88 and 814.92 is: 1,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.88 : 814.92 = 814.92 : x
  2. Step 2: Convert to fraction form
    569.88/814.92 = 814.92/x
  3. Step 3: Cross multiply
    569.88x = 814.92 × 814.92
  4. Step 4: Simplify right side
    569.88x = 664,097.66
  5. Step 5: Solve for x
    x = 664,097.66/569.88
  6. Step 6: Final answer
    x = 1,165.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.