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Finding the Third Proportional to 301,274.44 and 399,833.72

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Solution

The third proportional to 301,274.44 and 399,833.72 is: 530,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,274.44 : 399,833.72 = 399,833.72 : x
  2. Step 2: Convert to fraction form
    301,274.44/399,833.72 = 399,833.72/x
  3. Step 3: Cross multiply
    301,274.44x = 399,833.72 × 399,833.72
  4. Step 4: Simplify right side
    301,274.44x = 159,867,002,649.45
  5. Step 5: Solve for x
    x = 159,867,002,649.45/301,274.44
  6. Step 6: Final answer
    x = 530,635.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.