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Finding the Third Proportional to 238,474.50 and 511,497

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Solution

The third proportional to 238,474.50 and 511,497 is: 1,097,095.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,474.50 : 511,497 = 511,497 : x
  2. Step 2: Convert to fraction form
    238,474.50/511,497 = 511,497/x
  3. Step 3: Cross multiply
    238,474.50x = 511,497 × 511,497
  4. Step 4: Simplify right side
    238,474.50x = 261,629,181,009
  5. Step 5: Solve for x
    x = 261,629,181,009/238,474.50
  6. Step 6: Final answer
    x = 1,097,095.00

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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.