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Finding the Third Proportional to 286,812 and 443,874

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Solution

The third proportional to 286,812 and 443,874 is: 686,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,812 : 443,874 = 443,874 : x
  2. Step 2: Convert to fraction form
    286,812/443,874 = 443,874/x
  3. Step 3: Cross multiply
    286,812x = 443,874 × 443,874
  4. Step 4: Simplify right side
    286,812x = 197,024,127,876
  5. Step 5: Solve for x
    x = 197,024,127,876/286,812
  6. Step 6: Final answer
    x = 686,945.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.