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Finding the Third Proportional to 344,661 and 504,975

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Solution

The third proportional to 344,661 and 504,975 is: 739,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,661 : 504,975 = 504,975 : x
  2. Step 2: Convert to fraction form
    344,661/504,975 = 504,975/x
  3. Step 3: Cross multiply
    344,661x = 504,975 × 504,975
  4. Step 4: Simplify right side
    344,661x = 254,999,750,625
  5. Step 5: Solve for x
    x = 254,999,750,625/344,661
  6. Step 6: Final answer
    x = 739,856.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.