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Finding the Third Proportional to 264,446 and 397,246

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Solution

The third proportional to 264,446 and 397,246 is: 596,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,446 : 397,246 = 397,246 : x
  2. Step 2: Convert to fraction form
    264,446/397,246 = 397,246/x
  3. Step 3: Cross multiply
    264,446x = 397,246 × 397,246
  4. Step 4: Simplify right side
    264,446x = 157,804,384,516
  5. Step 5: Solve for x
    x = 157,804,384,516/264,446
  6. Step 6: Final answer
    x = 596,735.76

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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.