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Finding the Third Proportional to 203,670 and 446,706

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Solution

The third proportional to 203,670 and 446,706 is: 979,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,670 : 446,706 = 446,706 : x
  2. Step 2: Convert to fraction form
    203,670/446,706 = 446,706/x
  3. Step 3: Cross multiply
    203,670x = 446,706 × 446,706
  4. Step 4: Simplify right side
    203,670x = 199,546,250,436
  5. Step 5: Solve for x
    x = 199,546,250,436/203,670
  6. Step 6: Final answer
    x = 979,752.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.