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Finding the Third Proportional to 264,480.19 and 396,712.69

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Solution

The third proportional to 264,480.19 and 396,712.69 is: 595,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,480.19 : 396,712.69 = 396,712.69 : x
  2. Step 2: Convert to fraction form
    264,480.19/396,712.69 = 396,712.69/x
  3. Step 3: Cross multiply
    264,480.19x = 396,712.69 × 396,712.69
  4. Step 4: Simplify right side
    264,480.19x = 157,380,956,423.47
  5. Step 5: Solve for x
    x = 157,380,956,423.47/264,480.19
  6. Step 6: Final answer
    x = 595,057.64

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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.