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Finding the Third Proportional to 344,448 and 523,962

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Solution

The third proportional to 344,448 and 523,962 is: 797,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,448 : 523,962 = 523,962 : x
  2. Step 2: Convert to fraction form
    344,448/523,962 = 523,962/x
  3. Step 3: Cross multiply
    344,448x = 523,962 × 523,962
  4. Step 4: Simplify right side
    344,448x = 274,536,177,444
  5. Step 5: Solve for x
    x = 274,536,177,444/344,448
  6. Step 6: Final answer
    x = 797,032.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.