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Finding the Third Proportional to 738.38 and 1,115.25

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Solution

The third proportional to 738.38 and 1,115.25 is: 1,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.38 : 1,115.25 = 1,115.25 : x
  2. Step 2: Convert to fraction form
    738.38/1,115.25 = 1,115.25/x
  3. Step 3: Cross multiply
    738.38x = 1,115.25 × 1,115.25
  4. Step 4: Simplify right side
    738.38x = 1,243,782.56
  5. Step 5: Solve for x
    x = 1,243,782.56/738.38
  6. Step 6: Final answer
    x = 1,684.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.