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Finding the Third Proportional to 236,660 and 509,404

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Solution

The third proportional to 236,660 and 509,404 is: 1,096,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,660 : 509,404 = 509,404 : x
  2. Step 2: Convert to fraction form
    236,660/509,404 = 509,404/x
  3. Step 3: Cross multiply
    236,660x = 509,404 × 509,404
  4. Step 4: Simplify right side
    236,660x = 259,492,435,216
  5. Step 5: Solve for x
    x = 259,492,435,216/236,660
  6. Step 6: Final answer
    x = 1,096,477.80

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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.