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Finding the Third Proportional to 566.25 and 909.94

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Solution

The third proportional to 566.25 and 909.94 is: 1,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.25 : 909.94 = 909.94 : x
  2. Step 2: Convert to fraction form
    566.25/909.94 = 909.94/x
  3. Step 3: Cross multiply
    566.25x = 909.94 × 909.94
  4. Step 4: Simplify right side
    566.25x = 827,986.25
  5. Step 5: Solve for x
    x = 827,986.25/566.25
  6. Step 6: Final answer
    x = 1,462.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.