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Finding the Third Proportional to 240,372.56 and 512,923.64

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Solution

The third proportional to 240,372.56 and 512,923.64 is: 1,094,512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,372.56 : 512,923.64 = 512,923.64 : x
  2. Step 2: Convert to fraction form
    240,372.56/512,923.64 = 512,923.64/x
  3. Step 3: Cross multiply
    240,372.56x = 512,923.64 × 512,923.64
  4. Step 4: Simplify right side
    240,372.56x = 263,090,661,112.00
  5. Step 5: Solve for x
    x = 263,090,661,112.00/240,372.56
  6. Step 6: Final answer
    x = 1,094,512.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.