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Finding the Third Proportional to 295,821 and 443,221

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Solution

The third proportional to 295,821 and 443,221 is: 664,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,821 : 443,221 = 443,221 : x
  2. Step 2: Convert to fraction form
    295,821/443,221 = 443,221/x
  3. Step 3: Cross multiply
    295,821x = 443,221 × 443,221
  4. Step 4: Simplify right side
    295,821x = 196,444,854,841
  5. Step 5: Solve for x
    x = 196,444,854,841/295,821
  6. Step 6: Final answer
    x = 664,066.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.