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Finding the Third Proportional to 326,583 and 494,796

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Solution

The third proportional to 326,583 and 494,796 is: 749,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,583 : 494,796 = 494,796 : x
  2. Step 2: Convert to fraction form
    326,583/494,796 = 494,796/x
  3. Step 3: Cross multiply
    326,583x = 494,796 × 494,796
  4. Step 4: Simplify right side
    326,583x = 244,823,081,616
  5. Step 5: Solve for x
    x = 244,823,081,616/326,583
  6. Step 6: Final answer
    x = 749,650.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.