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Finding the Third Proportional to 239,907.75 and 509,334.75

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Solution

The third proportional to 239,907.75 and 509,334.75 is: 1,081,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,907.75 : 509,334.75 = 509,334.75 : x
  2. Step 2: Convert to fraction form
    239,907.75/509,334.75 = 509,334.75/x
  3. Step 3: Cross multiply
    239,907.75x = 509,334.75 × 509,334.75
  4. Step 4: Simplify right side
    239,907.75x = 259,421,887,557.56
  5. Step 5: Solve for x
    x = 259,421,887,557.56/239,907.75
  6. Step 6: Final answer
    x = 1,081,340.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.