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Finding the Third Proportional to 326,514 and 494,700

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Solution

The third proportional to 326,514 and 494,700 is: 749,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,514 : 494,700 = 494,700 : x
  2. Step 2: Convert to fraction form
    326,514/494,700 = 494,700/x
  3. Step 3: Cross multiply
    326,514x = 494,700 × 494,700
  4. Step 4: Simplify right side
    326,514x = 244,728,090,000
  5. Step 5: Solve for x
    x = 244,728,090,000/326,514
  6. Step 6: Final answer
    x = 749,517.91

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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.