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Finding the Third Proportional to 736.03 and 1,203.05

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Solution

The third proportional to 736.03 and 1,203.05 is: 1,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.03 : 1,203.05 = 1,203.05 : x
  2. Step 2: Convert to fraction form
    736.03/1,203.05 = 1,203.05/x
  3. Step 3: Cross multiply
    736.03x = 1,203.05 × 1,203.05
  4. Step 4: Simplify right side
    736.03x = 1,447,321.78
  5. Step 5: Solve for x
    x = 1,447,321.78/736.03
  6. Step 6: Final answer
    x = 1,966.39

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.