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Finding the Third Proportional to 238,027 and 495,782

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Solution

The third proportional to 238,027 and 495,782 is: 1,032,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,027 : 495,782 = 495,782 : x
  2. Step 2: Convert to fraction form
    238,027/495,782 = 495,782/x
  3. Step 3: Cross multiply
    238,027x = 495,782 × 495,782
  4. Step 4: Simplify right side
    238,027x = 245,799,791,524
  5. Step 5: Solve for x
    x = 245,799,791,524/238,027
  6. Step 6: Final answer
    x = 1,032,655.08

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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.