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Finding the Third Proportional to 736.59 and 1,369.41

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Solution

The third proportional to 736.59 and 1,369.41 is: 2,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.59 : 1,369.41 = 1,369.41 : x
  2. Step 2: Convert to fraction form
    736.59/1,369.41 = 1,369.41/x
  3. Step 3: Cross multiply
    736.59x = 1,369.41 × 1,369.41
  4. Step 4: Simplify right side
    736.59x = 1,875,273.48
  5. Step 5: Solve for x
    x = 1,875,273.48/736.59
  6. Step 6: Final answer
    x = 2,545.87

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.