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Finding the Third Proportional to 238,236 and 511,002

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Solution

The third proportional to 238,236 and 511,002 is: 1,096,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,236 : 511,002 = 511,002 : x
  2. Step 2: Convert to fraction form
    238,236/511,002 = 511,002/x
  3. Step 3: Cross multiply
    238,236x = 511,002 × 511,002
  4. Step 4: Simplify right side
    238,236x = 261,123,044,004
  5. Step 5: Solve for x
    x = 261,123,044,004/238,236
  6. Step 6: Final answer
    x = 1,096,068.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.