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Finding the Third Proportional to 738.66 and 1,108.03

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Solution

The third proportional to 738.66 and 1,108.03 is: 1,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.66 : 1,108.03 = 1,108.03 : x
  2. Step 2: Convert to fraction form
    738.66/1,108.03 = 1,108.03/x
  3. Step 3: Cross multiply
    738.66x = 1,108.03 × 1,108.03
  4. Step 4: Simplify right side
    738.66x = 1,227,733.25
  5. Step 5: Solve for x
    x = 1,227,733.25/738.66
  6. Step 6: Final answer
    x = 1,662.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.