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Finding the Third Proportional to 238,198 and 495,998

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Solution

The third proportional to 238,198 and 495,998 is: 1,032,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,198 : 495,998 = 495,998 : x
  2. Step 2: Convert to fraction form
    238,198/495,998 = 495,998/x
  3. Step 3: Cross multiply
    238,198x = 495,998 × 495,998
  4. Step 4: Simplify right side
    238,198x = 246,014,016,004
  5. Step 5: Solve for x
    x = 246,014,016,004/238,198
  6. Step 6: Final answer
    x = 1,032,813.11

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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.