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Finding the Third Proportional to 336,857.06 and 519,228.56

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Solution

The third proportional to 336,857.06 and 519,228.56 is: 800,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,857.06 : 519,228.56 = 519,228.56 : x
  2. Step 2: Convert to fraction form
    336,857.06/519,228.56 = 519,228.56/x
  3. Step 3: Cross multiply
    336,857.06x = 519,228.56 × 519,228.56
  4. Step 4: Simplify right side
    336,857.06x = 269,598,300,115.82
  5. Step 5: Solve for x
    x = 269,598,300,115.82/336,857.06
  6. Step 6: Final answer
    x = 800,334.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.