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Finding the Third Proportional to 237,639 and 494,868

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Solution

The third proportional to 237,639 and 494,868 is: 1,030,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,639 : 494,868 = 494,868 : x
  2. Step 2: Convert to fraction form
    237,639/494,868 = 494,868/x
  3. Step 3: Cross multiply
    237,639x = 494,868 × 494,868
  4. Step 4: Simplify right side
    237,639x = 244,894,337,424
  5. Step 5: Solve for x
    x = 244,894,337,424/237,639
  6. Step 6: Final answer
    x = 1,030,530.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.