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Finding the Third Proportional to 248,961 and 546,298

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Solution

The third proportional to 248,961 and 546,298 is: 1,198,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,961 : 546,298 = 546,298 : x
  2. Step 2: Convert to fraction form
    248,961/546,298 = 546,298/x
  3. Step 3: Cross multiply
    248,961x = 546,298 × 546,298
  4. Step 4: Simplify right side
    248,961x = 298,441,504,804
  5. Step 5: Solve for x
    x = 298,441,504,804/248,961
  6. Step 6: Final answer
    x = 1,198,748.02

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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.