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Finding the Third Proportional to 207,852 and 447,754

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Solution

The third proportional to 207,852 and 447,754 is: 964,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,852 : 447,754 = 447,754 : x
  2. Step 2: Convert to fraction form
    207,852/447,754 = 447,754/x
  3. Step 3: Cross multiply
    207,852x = 447,754 × 447,754
  4. Step 4: Simplify right side
    207,852x = 200,483,644,516
  5. Step 5: Solve for x
    x = 200,483,644,516/207,852
  6. Step 6: Final answer
    x = 964,549.99

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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.