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Finding the Third Proportional to 753.89 and 1,199.39

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Solution

The third proportional to 753.89 and 1,199.39 is: 1,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.89 : 1,199.39 = 1,199.39 : x
  2. Step 2: Convert to fraction form
    753.89/1,199.39 = 1,199.39/x
  3. Step 3: Cross multiply
    753.89x = 1,199.39 × 1,199.39
  4. Step 4: Simplify right side
    753.89x = 1,438,537.87
  5. Step 5: Solve for x
    x = 1,438,537.87/753.89
  6. Step 6: Final answer
    x = 1,908.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.