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Finding the Third Proportional to 207,254 and 443,911

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Solution

The third proportional to 207,254 and 443,911 is: 950,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,254 : 443,911 = 443,911 : x
  2. Step 2: Convert to fraction form
    207,254/443,911 = 443,911/x
  3. Step 3: Cross multiply
    207,254x = 443,911 × 443,911
  4. Step 4: Simplify right side
    207,254x = 197,056,975,921
  5. Step 5: Solve for x
    x = 197,056,975,921/207,254
  6. Step 6: Final answer
    x = 950,799.39

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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.