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Finding the Third Proportional to 704.32 and 1,073.09

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Solution

The third proportional to 704.32 and 1,073.09 is: 1,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.32 : 1,073.09 = 1,073.09 : x
  2. Step 2: Convert to fraction form
    704.32/1,073.09 = 1,073.09/x
  3. Step 3: Cross multiply
    704.32x = 1,073.09 × 1,073.09
  4. Step 4: Simplify right side
    704.32x = 1,151,526.00
  5. Step 5: Solve for x
    x = 1,151,526.00/704.32
  6. Step 6: Final answer
    x = 1,634.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.