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Finding the Third Proportional to 326,577 and 494,788

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Solution

The third proportional to 326,577 and 494,788 is: 749,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,577 : 494,788 = 494,788 : x
  2. Step 2: Convert to fraction form
    326,577/494,788 = 494,788/x
  3. Step 3: Cross multiply
    326,577x = 494,788 × 494,788
  4. Step 4: Simplify right side
    326,577x = 244,815,164,944
  5. Step 5: Solve for x
    x = 244,815,164,944/326,577
  6. Step 6: Final answer
    x = 749,639.95

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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.