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Finding the Third Proportional to 233,838 and 505,042

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Solution

The third proportional to 233,838 and 505,042 is: 1,090,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,838 : 505,042 = 505,042 : x
  2. Step 2: Convert to fraction form
    233,838/505,042 = 505,042/x
  3. Step 3: Cross multiply
    233,838x = 505,042 × 505,042
  4. Step 4: Simplify right side
    233,838x = 255,067,421,764
  5. Step 5: Solve for x
    x = 255,067,421,764/233,838
  6. Step 6: Final answer
    x = 1,090,786.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.