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Finding the Third Proportional to 444,656 and 959,296

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Solution

The third proportional to 444,656 and 959,296 is: 2,069,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,656 : 959,296 = 959,296 : x
  2. Step 2: Convert to fraction form
    444,656/959,296 = 959,296/x
  3. Step 3: Cross multiply
    444,656x = 959,296 × 959,296
  4. Step 4: Simplify right side
    444,656x = 920,248,815,616
  5. Step 5: Solve for x
    x = 920,248,815,616/444,656
  6. Step 6: Final answer
    x = 2,069,574.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.