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Finding the Third Proportional to 207,015 and 443,541

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Solution

The third proportional to 207,015 and 443,541 is: 950,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,015 : 443,541 = 443,541 : x
  2. Step 2: Convert to fraction form
    207,015/443,541 = 443,541/x
  3. Step 3: Cross multiply
    207,015x = 443,541 × 443,541
  4. Step 4: Simplify right side
    207,015x = 196,728,618,681
  5. Step 5: Solve for x
    x = 196,728,618,681/207,015
  6. Step 6: Final answer
    x = 950,310.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.