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Finding the Third Proportional to 273,505.50 and 590,751

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Solution

The third proportional to 273,505.50 and 590,751 is: 1,275,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,505.50 : 590,751 = 590,751 : x
  2. Step 2: Convert to fraction form
    273,505.50/590,751 = 590,751/x
  3. Step 3: Cross multiply
    273,505.50x = 590,751 × 590,751
  4. Step 4: Simplify right side
    273,505.50x = 348,986,744,001
  5. Step 5: Solve for x
    x = 348,986,744,001/273,505.50
  6. Step 6: Final answer
    x = 1,275,977.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.