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Finding the Third Proportional to 613.13 and 911.53

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Solution

The third proportional to 613.13 and 911.53 is: 1,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.13 : 911.53 = 911.53 : x
  2. Step 2: Convert to fraction form
    613.13/911.53 = 911.53/x
  3. Step 3: Cross multiply
    613.13x = 911.53 × 911.53
  4. Step 4: Simplify right side
    613.13x = 830,889.22
  5. Step 5: Solve for x
    x = 830,889.22/613.13
  6. Step 6: Final answer
    x = 1,355.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.