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Finding the Third Proportional to 337,887 and 505,827

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Solution

The third proportional to 337,887 and 505,827 is: 757,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,887 : 505,827 = 505,827 : x
  2. Step 2: Convert to fraction form
    337,887/505,827 = 505,827/x
  3. Step 3: Cross multiply
    337,887x = 505,827 × 505,827
  4. Step 4: Simplify right side
    337,887x = 255,860,953,929
  5. Step 5: Solve for x
    x = 255,860,953,929/337,887
  6. Step 6: Final answer
    x = 757,238.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.