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Finding the Third Proportional to 273,810 and 599,236.50

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Solution

The third proportional to 273,810 and 599,236.50 is: 1,311,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,810 : 599,236.50 = 599,236.50 : x
  2. Step 2: Convert to fraction form
    273,810/599,236.50 = 599,236.50/x
  3. Step 3: Cross multiply
    273,810x = 599,236.50 × 599,236.50
  4. Step 4: Simplify right side
    273,810x = 359,084,382,932.25
  5. Step 5: Solve for x
    x = 359,084,382,932.25/273,810
  6. Step 6: Final answer
    x = 1,311,436.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.