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Finding the Third Proportional to 323,798 and 482,367

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Solution

The third proportional to 323,798 and 482,367 is: 718,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,798 : 482,367 = 482,367 : x
  2. Step 2: Convert to fraction form
    323,798/482,367 = 482,367/x
  3. Step 3: Cross multiply
    323,798x = 482,367 × 482,367
  4. Step 4: Simplify right side
    323,798x = 232,677,922,689
  5. Step 5: Solve for x
    x = 232,677,922,689/323,798
  6. Step 6: Final answer
    x = 718,589.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.