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Finding the Third Proportional to 439,376 and 959,296

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Solution

The third proportional to 439,376 and 959,296 is: 2,094,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,376 : 959,296 = 959,296 : x
  2. Step 2: Convert to fraction form
    439,376/959,296 = 959,296/x
  3. Step 3: Cross multiply
    439,376x = 959,296 × 959,296
  4. Step 4: Simplify right side
    439,376x = 920,248,815,616
  5. Step 5: Solve for x
    x = 920,248,815,616/439,376
  6. Step 6: Final answer
    x = 2,094,444.88

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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.