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Finding the Third Proportional to 238,193 and 495,987

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Solution

The third proportional to 238,193 and 495,987 is: 1,032,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,193 : 495,987 = 495,987 : x
  2. Step 2: Convert to fraction form
    238,193/495,987 = 495,987/x
  3. Step 3: Cross multiply
    238,193x = 495,987 × 495,987
  4. Step 4: Simplify right side
    238,193x = 246,003,104,169
  5. Step 5: Solve for x
    x = 246,003,104,169/238,193
  6. Step 6: Final answer
    x = 1,032,788.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.