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Finding the Third Proportional to 286,100 and 443,244

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Solution

The third proportional to 286,100 and 443,244 is: 686,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,100 : 443,244 = 443,244 : x
  2. Step 2: Convert to fraction form
    286,100/443,244 = 443,244/x
  3. Step 3: Cross multiply
    286,100x = 443,244 × 443,244
  4. Step 4: Simplify right side
    286,100x = 196,465,243,536
  5. Step 5: Solve for x
    x = 196,465,243,536/286,100
  6. Step 6: Final answer
    x = 686,701.31

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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.