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Finding the Third Proportional to 207,858 and 447,769

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Solution

The third proportional to 207,858 and 447,769 is: 964,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,858 : 447,769 = 447,769 : x
  2. Step 2: Convert to fraction form
    207,858/447,769 = 447,769/x
  3. Step 3: Cross multiply
    207,858x = 447,769 × 447,769
  4. Step 4: Simplify right side
    207,858x = 200,497,077,361
  5. Step 5: Solve for x
    x = 200,497,077,361/207,858
  6. Step 6: Final answer
    x = 964,586.77

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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.