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Finding the Third Proportional to 368,766 and 504,675

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Solution

The third proportional to 368,766 and 504,675 is: 690,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,766 : 504,675 = 504,675 : x
  2. Step 2: Convert to fraction form
    368,766/504,675 = 504,675/x
  3. Step 3: Cross multiply
    368,766x = 504,675 × 504,675
  4. Step 4: Simplify right side
    368,766x = 254,696,855,625
  5. Step 5: Solve for x
    x = 254,696,855,625/368,766
  6. Step 6: Final answer
    x = 690,673.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.