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Finding the Third Proportional to 236,668 and 509,422

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Solution

The third proportional to 236,668 and 509,422 is: 1,096,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,668 : 509,422 = 509,422 : x
  2. Step 2: Convert to fraction form
    236,668/509,422 = 509,422/x
  3. Step 3: Cross multiply
    236,668x = 509,422 × 509,422
  4. Step 4: Simplify right side
    236,668x = 259,510,774,084
  5. Step 5: Solve for x
    x = 259,510,774,084/236,668
  6. Step 6: Final answer
    x = 1,096,518.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.