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Finding the Third Proportional to 569.94 and 814.94

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Solution

The third proportional to 569.94 and 814.94 is: 1,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.94 : 814.94 = 814.94 : x
  2. Step 2: Convert to fraction form
    569.94/814.94 = 814.94/x
  3. Step 3: Cross multiply
    569.94x = 814.94 × 814.94
  4. Step 4: Simplify right side
    569.94x = 664,123.13
  5. Step 5: Solve for x
    x = 664,123.13/569.94
  6. Step 6: Final answer
    x = 1,165.26

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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.