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Finding the Third Proportional to 569.94 and 858.94

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Solution

The third proportional to 569.94 and 858.94 is: 1,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.94 : 858.94 = 858.94 : x
  2. Step 2: Convert to fraction form
    569.94/858.94 = 858.94/x
  3. Step 3: Cross multiply
    569.94x = 858.94 × 858.94
  4. Step 4: Simplify right side
    569.94x = 737,773.63
  5. Step 5: Solve for x
    x = 737,773.63/569.94
  6. Step 6: Final answer
    x = 1,294.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.