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Finding the Third Proportional to 352.13 and 499.22

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Solution

The third proportional to 352.13 and 499.22 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.13 : 499.22 = 499.22 : x
  2. Step 2: Convert to fraction form
    352.13/499.22 = 499.22/x
  3. Step 3: Cross multiply
    352.13x = 499.22 × 499.22
  4. Step 4: Simplify right side
    352.13x = 249,219.36
  5. Step 5: Solve for x
    x = 249,219.36/352.13
  6. Step 6: Final answer
    x = 707.76

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.