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Finding the Third Proportional to 326,703 and 494,979

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Solution

The third proportional to 326,703 and 494,979 is: 749,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,703 : 494,979 = 494,979 : x
  2. Step 2: Convert to fraction form
    326,703/494,979 = 494,979/x
  3. Step 3: Cross multiply
    326,703x = 494,979 × 494,979
  4. Step 4: Simplify right side
    326,703x = 245,004,210,441
  5. Step 5: Solve for x
    x = 245,004,210,441/326,703
  6. Step 6: Final answer
    x = 749,929.48

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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.