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Finding the Third Proportional to 353.06 and 455.53

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Solution

The third proportional to 353.06 and 455.53 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.06 : 455.53 = 455.53 : x
  2. Step 2: Convert to fraction form
    353.06/455.53 = 455.53/x
  3. Step 3: Cross multiply
    353.06x = 455.53 × 455.53
  4. Step 4: Simplify right side
    353.06x = 207,508.72
  5. Step 5: Solve for x
    x = 207,508.72/353.06
  6. Step 6: Final answer
    x = 587.74

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.