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Finding the Third Proportional to 373,326 and 504,693

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Solution

The third proportional to 373,326 and 504,693 is: 682,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,326 : 504,693 = 504,693 : x
  2. Step 2: Convert to fraction form
    373,326/504,693 = 504,693/x
  3. Step 3: Cross multiply
    373,326x = 504,693 × 504,693
  4. Step 4: Simplify right side
    373,326x = 254,715,024,249
  5. Step 5: Solve for x
    x = 254,715,024,249/373,326
  6. Step 6: Final answer
    x = 682,285.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.