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Finding the Third Proportional to 1,173 and 1,704.19

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Solution

The third proportional to 1,173 and 1,704.19 is: 2,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173 : 1,704.19 = 1,704.19 : x
  2. Step 2: Convert to fraction form
    1,173/1,704.19 = 1,704.19/x
  3. Step 3: Cross multiply
    1,173x = 1,704.19 × 1,704.19
  4. Step 4: Simplify right side
    1,173x = 2,904,255.04
  5. Step 5: Solve for x
    x = 2,904,255.04/1,173
  6. Step 6: Final answer
    x = 2,475.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.