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Finding the Third Proportional to 295.73 and 642.52

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Solution

The third proportional to 295.73 and 642.52 is: 1,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.73 : 642.52 = 642.52 : x
  2. Step 2: Convert to fraction form
    295.73/642.52 = 642.52/x
  3. Step 3: Cross multiply
    295.73x = 642.52 × 642.52
  4. Step 4: Simplify right side
    295.73x = 412,826.33
  5. Step 5: Solve for x
    x = 412,826.33/295.73
  6. Step 6: Final answer
    x = 1,395.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.