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Finding the Third Proportional to 451,653.75 and 700,175.25

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Solution

The third proportional to 451,653.75 and 700,175.25 is: 1,085,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,653.75 : 700,175.25 = 700,175.25 : x
  2. Step 2: Convert to fraction form
    451,653.75/700,175.25 = 700,175.25/x
  3. Step 3: Cross multiply
    451,653.75x = 700,175.25 × 700,175.25
  4. Step 4: Simplify right side
    451,653.75x = 490,245,380,712.56
  5. Step 5: Solve for x
    x = 490,245,380,712.56/451,653.75
  6. Step 6: Final answer
    x = 1,085,445.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.