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Finding the Third Proportional to 244,819.50 and 519,028.50

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Solution

The third proportional to 244,819.50 and 519,028.50 is: 1,100,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,819.50 : 519,028.50 = 519,028.50 : x
  2. Step 2: Convert to fraction form
    244,819.50/519,028.50 = 519,028.50/x
  3. Step 3: Cross multiply
    244,819.50x = 519,028.50 × 519,028.50
  4. Step 4: Simplify right side
    244,819.50x = 269,390,583,812.25
  5. Step 5: Solve for x
    x = 269,390,583,812.25/244,819.50
  6. Step 6: Final answer
    x = 1,100,364.08

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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.