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Finding the Third Proportional to 207,932 and 437,593

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Solution

The third proportional to 207,932 and 437,593 is: 920,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,932 : 437,593 = 437,593 : x
  2. Step 2: Convert to fraction form
    207,932/437,593 = 437,593/x
  3. Step 3: Cross multiply
    207,932x = 437,593 × 437,593
  4. Step 4: Simplify right side
    207,932x = 191,487,633,649
  5. Step 5: Solve for x
    x = 191,487,633,649/207,932
  6. Step 6: Final answer
    x = 920,914.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.