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Finding the Third Proportional to 704.32 and 1,484.58

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Solution

The third proportional to 704.32 and 1,484.58 is: 3,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.32 : 1,484.58 = 1,484.58 : x
  2. Step 2: Convert to fraction form
    704.32/1,484.58 = 1,484.58/x
  3. Step 3: Cross multiply
    704.32x = 1,484.58 × 1,484.58
  4. Step 4: Simplify right side
    704.32x = 2,203,972.21
  5. Step 5: Solve for x
    x = 2,203,972.21/704.32
  6. Step 6: Final answer
    x = 3,129.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.