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Finding the Third Proportional to 295,782 and 443,529

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Solution

The third proportional to 295,782 and 443,529 is: 665,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,782 : 443,529 = 443,529 : x
  2. Step 2: Convert to fraction form
    295,782/443,529 = 443,529/x
  3. Step 3: Cross multiply
    295,782x = 443,529 × 443,529
  4. Step 4: Simplify right side
    295,782x = 196,717,973,841
  5. Step 5: Solve for x
    x = 196,717,973,841/295,782
  6. Step 6: Final answer
    x = 665,077.57

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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.