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Finding the Third Proportional to 236,654 and 509,393.50

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Solution

The third proportional to 236,654 and 509,393.50 is: 1,096,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,654 : 509,393.50 = 509,393.50 : x
  2. Step 2: Convert to fraction form
    236,654/509,393.50 = 509,393.50/x
  3. Step 3: Cross multiply
    236,654x = 509,393.50 × 509,393.50
  4. Step 4: Simplify right side
    236,654x = 259,481,737,842.25
  5. Step 5: Solve for x
    x = 259,481,737,842.25/236,654
  6. Step 6: Final answer
    x = 1,096,460.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.