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Finding the Third Proportional to 295.69 and 650.06

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Solution

The third proportional to 295.69 and 650.06 is: 1,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 650.06 = 650.06 : x
  2. Step 2: Convert to fraction form
    295.69/650.06 = 650.06/x
  3. Step 3: Cross multiply
    295.69x = 650.06 × 650.06
  4. Step 4: Simplify right side
    295.69x = 422,581.25
  5. Step 5: Solve for x
    x = 422,581.25/295.69
  6. Step 6: Final answer
    x = 1,429.15

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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.