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Finding the Third Proportional to 238,086 and 495,900

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Solution

The third proportional to 238,086 and 495,900 is: 1,032,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,086 : 495,900 = 495,900 : x
  2. Step 2: Convert to fraction form
    238,086/495,900 = 495,900/x
  3. Step 3: Cross multiply
    238,086x = 495,900 × 495,900
  4. Step 4: Simplify right side
    238,086x = 245,916,810,000
  5. Step 5: Solve for x
    x = 245,916,810,000/238,086
  6. Step 6: Final answer
    x = 1,032,890.68

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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.