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Finding the Third Proportional to 245,094 and 538,512

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Solution

The third proportional to 245,094 and 538,512 is: 1,183,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,094 : 538,512 = 538,512 : x
  2. Step 2: Convert to fraction form
    245,094/538,512 = 538,512/x
  3. Step 3: Cross multiply
    245,094x = 538,512 × 538,512
  4. Step 4: Simplify right side
    245,094x = 289,995,174,144
  5. Step 5: Solve for x
    x = 289,995,174,144/245,094
  6. Step 6: Final answer
    x = 1,183,199.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.