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Finding the Third Proportional to 295,060 and 443,934

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Solution

The third proportional to 295,060 and 443,934 is: 667,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,060 : 443,934 = 443,934 : x
  2. Step 2: Convert to fraction form
    295,060/443,934 = 443,934/x
  3. Step 3: Cross multiply
    295,060x = 443,934 × 443,934
  4. Step 4: Simplify right side
    295,060x = 197,077,396,356
  5. Step 5: Solve for x
    x = 197,077,396,356/295,060
  6. Step 6: Final answer
    x = 667,923.12

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