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Finding the Third Proportional to 246,626 and 537,885

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Solution

The third proportional to 246,626 and 537,885 is: 1,173,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,626 : 537,885 = 537,885 : x
  2. Step 2: Convert to fraction form
    246,626/537,885 = 537,885/x
  3. Step 3: Cross multiply
    246,626x = 537,885 × 537,885
  4. Step 4: Simplify right side
    246,626x = 289,320,273,225
  5. Step 5: Solve for x
    x = 289,320,273,225/246,626
  6. Step 6: Final answer
    x = 1,173,113.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.