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Finding the Third Proportional to 431.37 and 672.47

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Solution

The third proportional to 431.37 and 672.47 is: 1,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.37 : 672.47 = 672.47 : x
  2. Step 2: Convert to fraction form
    431.37/672.47 = 672.47/x
  3. Step 3: Cross multiply
    431.37x = 672.47 × 672.47
  4. Step 4: Simplify right side
    431.37x = 452,214.22
  5. Step 5: Solve for x
    x = 452,214.22/431.37
  6. Step 6: Final answer
    x = 1,048.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.