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Finding the Third Proportional to 207,844 and 447,735

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Solution

The third proportional to 207,844 and 447,735 is: 964,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,844 : 447,735 = 447,735 : x
  2. Step 2: Convert to fraction form
    207,844/447,735 = 447,735/x
  3. Step 3: Cross multiply
    207,844x = 447,735 × 447,735
  4. Step 4: Simplify right side
    207,844x = 200,466,630,225
  5. Step 5: Solve for x
    x = 200,466,630,225/207,844
  6. Step 6: Final answer
    x = 964,505.26

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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.