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Finding the Third Proportional to 264,507.19 and 396,766.69

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Solution

The third proportional to 264,507.19 and 396,766.69 is: 595,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,507.19 : 396,766.69 = 396,766.69 : x
  2. Step 2: Convert to fraction form
    264,507.19/396,766.69 = 396,766.69/x
  3. Step 3: Cross multiply
    264,507.19x = 396,766.69 × 396,766.69
  4. Step 4: Simplify right side
    264,507.19x = 157,423,804,309.72
  5. Step 5: Solve for x
    x = 157,423,804,309.72/264,507.19
  6. Step 6: Final answer
    x = 595,158.89

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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.