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Finding the Third Proportional to 625,296 and 968,832

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Solution

The third proportional to 625,296 and 968,832 is: 1,501,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,296 : 968,832 = 968,832 : x
  2. Step 2: Convert to fraction form
    625,296/968,832 = 968,832/x
  3. Step 3: Cross multiply
    625,296x = 968,832 × 968,832
  4. Step 4: Simplify right side
    625,296x = 938,635,444,224
  5. Step 5: Solve for x
    x = 938,635,444,224/625,296
  6. Step 6: Final answer
    x = 1,501,105.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.