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Finding the Third Proportional to 267,448.50 and 557,313.75

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Solution

The third proportional to 267,448.50 and 557,313.75 is: 1,161,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,448.50 : 557,313.75 = 557,313.75 : x
  2. Step 2: Convert to fraction form
    267,448.50/557,313.75 = 557,313.75/x
  3. Step 3: Cross multiply
    267,448.50x = 557,313.75 × 557,313.75
  4. Step 4: Simplify right side
    267,448.50x = 310,598,615,939.06
  5. Step 5: Solve for x
    x = 310,598,615,939.06/267,448.50
  6. Step 6: Final answer
    x = 1,161,339.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.