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Finding the Third Proportional to 272,099.25 and 584,313.75

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Solution

The third proportional to 272,099.25 and 584,313.75 is: 1,254,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,099.25 : 584,313.75 = 584,313.75 : x
  2. Step 2: Convert to fraction form
    272,099.25/584,313.75 = 584,313.75/x
  3. Step 3: Cross multiply
    272,099.25x = 584,313.75 × 584,313.75
  4. Step 4: Simplify right side
    272,099.25x = 341,422,558,439.06
  5. Step 5: Solve for x
    x = 341,422,558,439.06/272,099.25
  6. Step 6: Final answer
    x = 1,254,772.14

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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.