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Finding the Third Proportional to 207,713 and 451,875

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Solution

The third proportional to 207,713 and 451,875 is: 983,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,713 : 451,875 = 451,875 : x
  2. Step 2: Convert to fraction form
    207,713/451,875 = 451,875/x
  3. Step 3: Cross multiply
    207,713x = 451,875 × 451,875
  4. Step 4: Simplify right side
    207,713x = 204,191,015,625
  5. Step 5: Solve for x
    x = 204,191,015,625/207,713
  6. Step 6: Final answer
    x = 983,043.99

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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.