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Finding the Third Proportional to 353.64 and 462.06

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Solution

The third proportional to 353.64 and 462.06 is: 603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.64 : 462.06 = 462.06 : x
  2. Step 2: Convert to fraction form
    353.64/462.06 = 462.06/x
  3. Step 3: Cross multiply
    353.64x = 462.06 × 462.06
  4. Step 4: Simplify right side
    353.64x = 213,498.14
  5. Step 5: Solve for x
    x = 213,498.14/353.64
  6. Step 6: Final answer
    x = 603.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.