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Finding the Third Proportional to 369 and 506.63

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Solution

The third proportional to 369 and 506.63 is: 695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369 : 506.63 = 506.63 : x
  2. Step 2: Convert to fraction form
    369/506.63 = 506.63/x
  3. Step 3: Cross multiply
    369x = 506.63 × 506.63
  4. Step 4: Simplify right side
    369x = 256,668.89
  5. Step 5: Solve for x
    x = 256,668.89/369
  6. Step 6: Final answer
    x = 695.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.