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Finding the Third Proportional to 227,170 and 500,024

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Solution

The third proportional to 227,170 and 500,024 is: 1,100,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,170 : 500,024 = 500,024 : x
  2. Step 2: Convert to fraction form
    227,170/500,024 = 500,024/x
  3. Step 3: Cross multiply
    227,170x = 500,024 × 500,024
  4. Step 4: Simplify right side
    227,170x = 250,024,000,576
  5. Step 5: Solve for x
    x = 250,024,000,576/227,170
  6. Step 6: Final answer
    x = 1,100,603.08

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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.