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Finding the Third Proportional to 207,000 and 443,927

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Solution

The third proportional to 207,000 and 443,927 is: 952,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,000 : 443,927 = 443,927 : x
  2. Step 2: Convert to fraction form
    207,000/443,927 = 443,927/x
  3. Step 3: Cross multiply
    207,000x = 443,927 × 443,927
  4. Step 4: Simplify right side
    207,000x = 197,071,181,329
  5. Step 5: Solve for x
    x = 197,071,181,329/207,000
  6. Step 6: Final answer
    x = 952,034.69

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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.