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Finding the Third Proportional to 326,516 and 494,701

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Solution

The third proportional to 326,516 and 494,701 is: 749,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,516 : 494,701 = 494,701 : x
  2. Step 2: Convert to fraction form
    326,516/494,701 = 494,701/x
  3. Step 3: Cross multiply
    326,516x = 494,701 × 494,701
  4. Step 4: Simplify right side
    326,516x = 244,729,079,401
  5. Step 5: Solve for x
    x = 244,729,079,401/326,516
  6. Step 6: Final answer
    x = 749,516.35

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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.