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Finding the Third Proportional to 366.25 and 569.63

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Solution

The third proportional to 366.25 and 569.63 is: 885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.25 : 569.63 = 569.63 : x
  2. Step 2: Convert to fraction form
    366.25/569.63 = 569.63/x
  3. Step 3: Cross multiply
    366.25x = 569.63 × 569.63
  4. Step 4: Simplify right side
    366.25x = 324,472.64
  5. Step 5: Solve for x
    x = 324,472.64/366.25
  6. Step 6: Final answer
    x = 885.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.