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Finding the Third Proportional to 361,338 and 536,769

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Solution

The third proportional to 361,338 and 536,769 is: 797,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,338 : 536,769 = 536,769 : x
  2. Step 2: Convert to fraction form
    361,338/536,769 = 536,769/x
  3. Step 3: Cross multiply
    361,338x = 536,769 × 536,769
  4. Step 4: Simplify right side
    361,338x = 288,120,959,361
  5. Step 5: Solve for x
    x = 288,120,959,361/361,338
  6. Step 6: Final answer
    x = 797,372.43

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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.