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Finding the Third Proportional to 326,566 and 494,771

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Solution

The third proportional to 326,566 and 494,771 is: 749,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,566 : 494,771 = 494,771 : x
  2. Step 2: Convert to fraction form
    326,566/494,771 = 494,771/x
  3. Step 3: Cross multiply
    326,566x = 494,771 × 494,771
  4. Step 4: Simplify right side
    326,566x = 244,798,342,441
  5. Step 5: Solve for x
    x = 244,798,342,441/326,566
  6. Step 6: Final answer
    x = 749,613.68

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