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Finding the Third Proportional to 236,152 and 509,456

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Solution

The third proportional to 236,152 and 509,456 is: 1,099,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,152 : 509,456 = 509,456 : x
  2. Step 2: Convert to fraction form
    236,152/509,456 = 509,456/x
  3. Step 3: Cross multiply
    236,152x = 509,456 × 509,456
  4. Step 4: Simplify right side
    236,152x = 259,545,415,936
  5. Step 5: Solve for x
    x = 259,545,415,936/236,152
  6. Step 6: Final answer
    x = 1,099,060.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.