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Finding the Third Proportional to 207,826 and 447,710

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Solution

The third proportional to 207,826 and 447,710 is: 964,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,826 : 447,710 = 447,710 : x
  2. Step 2: Convert to fraction form
    207,826/447,710 = 447,710/x
  3. Step 3: Cross multiply
    207,826x = 447,710 × 447,710
  4. Step 4: Simplify right side
    207,826x = 200,444,244,100
  5. Step 5: Solve for x
    x = 200,444,244,100/207,826
  6. Step 6: Final answer
    x = 964,481.08

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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.