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Finding the Third Proportional to 518,491 and 799,847

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Solution

The third proportional to 518,491 and 799,847 is: 1,233,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,491 : 799,847 = 799,847 : x
  2. Step 2: Convert to fraction form
    518,491/799,847 = 799,847/x
  3. Step 3: Cross multiply
    518,491x = 799,847 × 799,847
  4. Step 4: Simplify right side
    518,491x = 639,755,223,409
  5. Step 5: Solve for x
    x = 639,755,223,409/518,491
  6. Step 6: Final answer
    x = 1,233,879.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.