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Finding the Third Proportional to 595.75 and 649.75

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Solution

The third proportional to 595.75 and 649.75 is: 708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.75 : 649.75 = 649.75 : x
  2. Step 2: Convert to fraction form
    595.75/649.75 = 649.75/x
  3. Step 3: Cross multiply
    595.75x = 649.75 × 649.75
  4. Step 4: Simplify right side
    595.75x = 422,175.06
  5. Step 5: Solve for x
    x = 422,175.06/595.75
  6. Step 6: Final answer
    x = 708.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.