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Finding the Third Proportional to 264,486 and 396,729

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Solution

The third proportional to 264,486 and 396,729 is: 595,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,486 : 396,729 = 396,729 : x
  2. Step 2: Convert to fraction form
    264,486/396,729 = 396,729/x
  3. Step 3: Cross multiply
    264,486x = 396,729 × 396,729
  4. Step 4: Simplify right side
    264,486x = 157,393,899,441
  5. Step 5: Solve for x
    x = 157,393,899,441/264,486
  6. Step 6: Final answer
    x = 595,093.50

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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.