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Finding the Third Proportional to 565.69 and 827.63

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Solution

The third proportional to 565.69 and 827.63 is: 1,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.69 : 827.63 = 827.63 : x
  2. Step 2: Convert to fraction form
    565.69/827.63 = 827.63/x
  3. Step 3: Cross multiply
    565.69x = 827.63 × 827.63
  4. Step 4: Simplify right side
    565.69x = 684,963.14
  5. Step 5: Solve for x
    x = 684,963.14/565.69
  6. Step 6: Final answer
    x = 1,210.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.