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Finding the Third Proportional to 296.06 and 414.94

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Solution

The third proportional to 296.06 and 414.94 is: 581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 414.94 = 414.94 : x
  2. Step 2: Convert to fraction form
    296.06/414.94 = 414.94/x
  3. Step 3: Cross multiply
    296.06x = 414.94 × 414.94
  4. Step 4: Simplify right side
    296.06x = 172,173.13
  5. Step 5: Solve for x
    x = 172,173.13/296.06
  6. Step 6: Final answer
    x = 581.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.