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Finding the Third Proportional to 431.44 and 647.44

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Solution

The third proportional to 431.44 and 647.44 is: 971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.44 : 647.44 = 647.44 : x
  2. Step 2: Convert to fraction form
    431.44/647.44 = 647.44/x
  3. Step 3: Cross multiply
    431.44x = 647.44 × 647.44
  4. Step 4: Simplify right side
    431.44x = 419,175.32
  5. Step 5: Solve for x
    x = 419,175.32/431.44
  6. Step 6: Final answer
    x = 971.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.