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Finding the Third Proportional to 227,612 and 357,006

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Solution

The third proportional to 227,612 and 357,006 is: 559,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,612 : 357,006 = 357,006 : x
  2. Step 2: Convert to fraction form
    227,612/357,006 = 357,006/x
  3. Step 3: Cross multiply
    227,612x = 357,006 × 357,006
  4. Step 4: Simplify right side
    227,612x = 127,453,284,036
  5. Step 5: Solve for x
    x = 127,453,284,036/227,612
  6. Step 6: Final answer
    x = 559,958.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.