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Finding the Third Proportional to 236,651.50 and 509,388.50

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Solution

The third proportional to 236,651.50 and 509,388.50 is: 1,096,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,651.50 : 509,388.50 = 509,388.50 : x
  2. Step 2: Convert to fraction form
    236,651.50/509,388.50 = 509,388.50/x
  3. Step 3: Cross multiply
    236,651.50x = 509,388.50 × 509,388.50
  4. Step 4: Simplify right side
    236,651.50x = 259,476,643,932.25
  5. Step 5: Solve for x
    x = 259,476,643,932.25/236,651.50
  6. Step 6: Final answer
    x = 1,096,450.45

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Why These Related Problems?

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