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Finding the Third Proportional to 436,296 and 925,320

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Solution

The third proportional to 436,296 and 925,320 is: 1,962,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,296 : 925,320 = 925,320 : x
  2. Step 2: Convert to fraction form
    436,296/925,320 = 925,320/x
  3. Step 3: Cross multiply
    436,296x = 925,320 × 925,320
  4. Step 4: Simplify right side
    436,296x = 856,217,102,400
  5. Step 5: Solve for x
    x = 856,217,102,400/436,296
  6. Step 6: Final answer
    x = 1,962,468.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.