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Finding the Third Proportional to 295.59 and 649.97

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Solution

The third proportional to 295.59 and 649.97 is: 1,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.59 : 649.97 = 649.97 : x
  2. Step 2: Convert to fraction form
    295.59/649.97 = 649.97/x
  3. Step 3: Cross multiply
    295.59x = 649.97 × 649.97
  4. Step 4: Simplify right side
    295.59x = 422,459.38
  5. Step 5: Solve for x
    x = 422,459.38/295.59
  6. Step 6: Final answer
    x = 1,429.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.