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Finding the Third Proportional to 207,412 and 443,254

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Solution

The third proportional to 207,412 and 443,254 is: 947,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,412 : 443,254 = 443,254 : x
  2. Step 2: Convert to fraction form
    207,412/443,254 = 443,254/x
  3. Step 3: Cross multiply
    207,412x = 443,254 × 443,254
  4. Step 4: Simplify right side
    207,412x = 196,474,108,516
  5. Step 5: Solve for x
    x = 196,474,108,516/207,412
  6. Step 6: Final answer
    x = 947,264.91

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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.