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Finding the Third Proportional to 295.69 and 472.41

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Solution

The third proportional to 295.69 and 472.41 is: 754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 472.41 = 472.41 : x
  2. Step 2: Convert to fraction form
    295.69/472.41 = 472.41/x
  3. Step 3: Cross multiply
    295.69x = 472.41 × 472.41
  4. Step 4: Simplify right side
    295.69x = 223,167.67
  5. Step 5: Solve for x
    x = 223,167.67/295.69
  6. Step 6: Final answer
    x = 754.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.