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Finding the Third Proportional to 270,991.50 and 583,604.50

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Solution

The third proportional to 270,991.50 and 583,604.50 is: 1,256,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,991.50 : 583,604.50 = 583,604.50 : x
  2. Step 2: Convert to fraction form
    270,991.50/583,604.50 = 583,604.50/x
  3. Step 3: Cross multiply
    270,991.50x = 583,604.50 × 583,604.50
  4. Step 4: Simplify right side
    270,991.50x = 340,594,212,420.25
  5. Step 5: Solve for x
    x = 340,594,212,420.25/270,991.50
  6. Step 6: Final answer
    x = 1,256,844.63

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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.