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Finding the Third Proportional to 207,819 and 444,069

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Solution

The third proportional to 207,819 and 444,069 is: 948,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,819 : 444,069 = 444,069 : x
  2. Step 2: Convert to fraction form
    207,819/444,069 = 444,069/x
  3. Step 3: Cross multiply
    207,819x = 444,069 × 444,069
  4. Step 4: Simplify right side
    207,819x = 197,197,276,761
  5. Step 5: Solve for x
    x = 197,197,276,761/207,819
  6. Step 6: Final answer
    x = 948,889.55

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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.