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Finding the Third Proportional to 207,718 and 447,025

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Solution

The third proportional to 207,718 and 447,025 is: 962,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,718 : 447,025 = 447,025 : x
  2. Step 2: Convert to fraction form
    207,718/447,025 = 447,025/x
  3. Step 3: Cross multiply
    207,718x = 447,025 × 447,025
  4. Step 4: Simplify right side
    207,718x = 199,831,350,625
  5. Step 5: Solve for x
    x = 199,831,350,625/207,718
  6. Step 6: Final answer
    x = 962,031.94

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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.