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Finding the Third Proportional to 264,333.38 and 396,581.63

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Solution

The third proportional to 264,333.38 and 396,581.63 is: 594,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,333.38 : 396,581.63 = 396,581.63 : x
  2. Step 2: Convert to fraction form
    264,333.38/396,581.63 = 396,581.63/x
  3. Step 3: Cross multiply
    264,333.38x = 396,581.63 × 396,581.63
  4. Step 4: Simplify right side
    264,333.38x = 157,276,985,287.64
  5. Step 5: Solve for x
    x = 157,276,985,287.64/264,333.38
  6. Step 6: Final answer
    x = 594,994.81

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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.