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Finding the Third Proportional to 324.95 and 704.32

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Solution

The third proportional to 324.95 and 704.32 is: 1,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.95 : 704.32 = 704.32 : x
  2. Step 2: Convert to fraction form
    324.95/704.32 = 704.32/x
  3. Step 3: Cross multiply
    324.95x = 704.32 × 704.32
  4. Step 4: Simplify right side
    324.95x = 496,067.10
  5. Step 5: Solve for x
    x = 496,067.10/324.95
  6. Step 6: Final answer
    x = 1,526.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.