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Finding the Third Proportional to 337,568 and 508,512

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Solution

The third proportional to 337,568 and 508,512 is: 766,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,568 : 508,512 = 508,512 : x
  2. Step 2: Convert to fraction form
    337,568/508,512 = 508,512/x
  3. Step 3: Cross multiply
    337,568x = 508,512 × 508,512
  4. Step 4: Simplify right side
    337,568x = 258,584,454,144
  5. Step 5: Solve for x
    x = 258,584,454,144/337,568
  6. Step 6: Final answer
    x = 766,021.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.