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Finding the Third Proportional to 264,492 and 397,314

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Solution

The third proportional to 264,492 and 397,314 is: 596,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,492 : 397,314 = 397,314 : x
  2. Step 2: Convert to fraction form
    264,492/397,314 = 397,314/x
  3. Step 3: Cross multiply
    264,492x = 397,314 × 397,314
  4. Step 4: Simplify right side
    264,492x = 157,858,414,596
  5. Step 5: Solve for x
    x = 157,858,414,596/264,492
  6. Step 6: Final answer
    x = 596,836.25

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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.