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Finding the Third Proportional to 275,071.50 and 583,249.50

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Solution

The third proportional to 275,071.50 and 583,249.50 is: 1,236,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,071.50 : 583,249.50 = 583,249.50 : x
  2. Step 2: Convert to fraction form
    275,071.50/583,249.50 = 583,249.50/x
  3. Step 3: Cross multiply
    275,071.50x = 583,249.50 × 583,249.50
  4. Step 4: Simplify right side
    275,071.50x = 340,179,979,250.25
  5. Step 5: Solve for x
    x = 340,179,979,250.25/275,071.50
  6. Step 6: Final answer
    x = 1,236,696.57

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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.