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Finding the Third Proportional to 233,067 and 500,118

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Solution

The third proportional to 233,067 and 500,118 is: 1,073,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,067 : 500,118 = 500,118 : x
  2. Step 2: Convert to fraction form
    233,067/500,118 = 500,118/x
  3. Step 3: Cross multiply
    233,067x = 500,118 × 500,118
  4. Step 4: Simplify right side
    233,067x = 250,118,013,924
  5. Step 5: Solve for x
    x = 250,118,013,924/233,067
  6. Step 6: Final answer
    x = 1,073,159.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.