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Finding the Third Proportional to 293,962 and 454,200

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Solution

The third proportional to 293,962 and 454,200 is: 701,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,962 : 454,200 = 454,200 : x
  2. Step 2: Convert to fraction form
    293,962/454,200 = 454,200/x
  3. Step 3: Cross multiply
    293,962x = 454,200 × 454,200
  4. Step 4: Simplify right side
    293,962x = 206,297,640,000
  5. Step 5: Solve for x
    x = 206,297,640,000/293,962
  6. Step 6: Final answer
    x = 701,783.36

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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.