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Finding the Third Proportional to 244,094 and 500,080

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Solution

The third proportional to 244,094 and 500,080 is: 1,024,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,094 : 500,080 = 500,080 : x
  2. Step 2: Convert to fraction form
    244,094/500,080 = 500,080/x
  3. Step 3: Cross multiply
    244,094x = 500,080 × 500,080
  4. Step 4: Simplify right side
    244,094x = 250,080,006,400
  5. Step 5: Solve for x
    x = 250,080,006,400/244,094
  6. Step 6: Final answer
    x = 1,024,523.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.