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Finding the Third Proportional to 451,649.25 and 660,512.81

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Solution

The third proportional to 451,649.25 and 660,512.81 is: 965,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,649.25 : 660,512.81 = 660,512.81 : x
  2. Step 2: Convert to fraction form
    451,649.25/660,512.81 = 660,512.81/x
  3. Step 3: Cross multiply
    451,649.25x = 660,512.81 × 660,512.81
  4. Step 4: Simplify right side
    451,649.25x = 436,277,175,476.66
  5. Step 5: Solve for x
    x = 436,277,175,476.66/451,649.25
  6. Step 6: Final answer
    x = 965,964.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.