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Finding the Third Proportional to 704.06 and 1,535.44

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Solution

The third proportional to 704.06 and 1,535.44 is: 3,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.06 : 1,535.44 = 1,535.44 : x
  2. Step 2: Convert to fraction form
    704.06/1,535.44 = 1,535.44/x
  3. Step 3: Cross multiply
    704.06x = 1,535.44 × 1,535.44
  4. Step 4: Simplify right side
    704.06x = 2,357,568.32
  5. Step 5: Solve for x
    x = 2,357,568.32/704.06
  6. Step 6: Final answer
    x = 3,348.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.