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Finding the Third Proportional to 296,499 and 443,934

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Solution

The third proportional to 296,499 and 443,934 is: 664,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,499 : 443,934 = 443,934 : x
  2. Step 2: Convert to fraction form
    296,499/443,934 = 443,934/x
  3. Step 3: Cross multiply
    296,499x = 443,934 × 443,934
  4. Step 4: Simplify right side
    296,499x = 197,077,396,356
  5. Step 5: Solve for x
    x = 197,077,396,356/296,499
  6. Step 6: Final answer
    x = 664,681.49

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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.