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Finding the Third Proportional to 207,714 and 451,877

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Solution

The third proportional to 207,714 and 451,877 is: 983,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,714 : 451,877 = 451,877 : x
  2. Step 2: Convert to fraction form
    207,714/451,877 = 451,877/x
  3. Step 3: Cross multiply
    207,714x = 451,877 × 451,877
  4. Step 4: Simplify right side
    207,714x = 204,192,823,129
  5. Step 5: Solve for x
    x = 204,192,823,129/207,714
  6. Step 6: Final answer
    x = 983,047.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.