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Finding the Third Proportional to 613.16 and 937.73

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Solution

The third proportional to 613.16 and 937.73 is: 1,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.16 : 937.73 = 937.73 : x
  2. Step 2: Convert to fraction form
    613.16/937.73 = 937.73/x
  3. Step 3: Cross multiply
    613.16x = 937.73 × 937.73
  4. Step 4: Simplify right side
    613.16x = 879,345.76
  5. Step 5: Solve for x
    x = 879,345.76/613.16
  6. Step 6: Final answer
    x = 1,434.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.