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Finding the Third Proportional to 454,074.75 and 703,046.25

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Solution

The third proportional to 454,074.75 and 703,046.25 is: 1,088,530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,074.75 : 703,046.25 = 703,046.25 : x
  2. Step 2: Convert to fraction form
    454,074.75/703,046.25 = 703,046.25/x
  3. Step 3: Cross multiply
    454,074.75x = 703,046.25 × 703,046.25
  4. Step 4: Simplify right side
    454,074.75x = 494,274,029,639.06
  5. Step 5: Solve for x
    x = 494,274,029,639.06/454,074.75
  6. Step 6: Final answer
    x = 1,088,530.09

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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.