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Finding the Third Proportional to 248,936 and 546,256

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Solution

The third proportional to 248,936 and 546,256 is: 1,198,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,936 : 546,256 = 546,256 : x
  2. Step 2: Convert to fraction form
    248,936/546,256 = 546,256/x
  3. Step 3: Cross multiply
    248,936x = 546,256 × 546,256
  4. Step 4: Simplify right side
    248,936x = 298,395,617,536
  5. Step 5: Solve for x
    x = 298,395,617,536/248,936
  6. Step 6: Final answer
    x = 1,198,684.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.