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Finding the Third Proportional to 451.41 and 709.31

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Solution

The third proportional to 451.41 and 709.31 is: 1,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.41 : 709.31 = 709.31 : x
  2. Step 2: Convert to fraction form
    451.41/709.31 = 709.31/x
  3. Step 3: Cross multiply
    451.41x = 709.31 × 709.31
  4. Step 4: Simplify right side
    451.41x = 503,124.22
  5. Step 5: Solve for x
    x = 503,124.22/451.41
  6. Step 6: Final answer
    x = 1,114.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.