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Finding the Third Proportional to 227,518 and 494,403

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Solution

The third proportional to 227,518 and 494,403 is: 1,074,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,518 : 494,403 = 494,403 : x
  2. Step 2: Convert to fraction form
    227,518/494,403 = 494,403/x
  3. Step 3: Cross multiply
    227,518x = 494,403 × 494,403
  4. Step 4: Simplify right side
    227,518x = 244,434,326,409
  5. Step 5: Solve for x
    x = 244,434,326,409/227,518
  6. Step 6: Final answer
    x = 1,074,351.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.