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Finding the Third Proportional to 296.44 and 465.05

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Solution

The third proportional to 296.44 and 465.05 is: 729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 465.05 = 465.05 : x
  2. Step 2: Convert to fraction form
    296.44/465.05 = 465.05/x
  3. Step 3: Cross multiply
    296.44x = 465.05 × 465.05
  4. Step 4: Simplify right side
    296.44x = 216,268.60
  5. Step 5: Solve for x
    x = 216,268.60/296.44
  6. Step 6: Final answer
    x = 729.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.