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Finding the Third Proportional to 207,823 and 446,727

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Solution

The third proportional to 207,823 and 446,727 is: 960,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,823 : 446,727 = 446,727 : x
  2. Step 2: Convert to fraction form
    207,823/446,727 = 446,727/x
  3. Step 3: Cross multiply
    207,823x = 446,727 × 446,727
  4. Step 4: Simplify right side
    207,823x = 199,565,012,529
  5. Step 5: Solve for x
    x = 199,565,012,529/207,823
  6. Step 6: Final answer
    x = 960,264.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.