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Finding the Third Proportional to 264,216 and 396,378

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Solution

The third proportional to 264,216 and 396,378 is: 594,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,216 : 396,378 = 396,378 : x
  2. Step 2: Convert to fraction form
    264,216/396,378 = 396,378/x
  3. Step 3: Cross multiply
    264,216x = 396,378 × 396,378
  4. Step 4: Simplify right side
    264,216x = 157,115,518,884
  5. Step 5: Solve for x
    x = 157,115,518,884/264,216
  6. Step 6: Final answer
    x = 594,648.01

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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.