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Finding the Third Proportional to 237,602 and 494,793

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Solution

The third proportional to 237,602 and 494,793 is: 1,030,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,602 : 494,793 = 494,793 : x
  2. Step 2: Convert to fraction form
    237,602/494,793 = 494,793/x
  3. Step 3: Cross multiply
    237,602x = 494,793 × 494,793
  4. Step 4: Simplify right side
    237,602x = 244,820,112,849
  5. Step 5: Solve for x
    x = 244,820,112,849/237,602
  6. Step 6: Final answer
    x = 1,030,379.01

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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.