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Finding the Third Proportional to 248,652 and 542,844

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Solution

The third proportional to 248,652 and 542,844 is: 1,185,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,652 : 542,844 = 542,844 : x
  2. Step 2: Convert to fraction form
    248,652/542,844 = 542,844/x
  3. Step 3: Cross multiply
    248,652x = 542,844 × 542,844
  4. Step 4: Simplify right side
    248,652x = 294,679,608,336
  5. Step 5: Solve for x
    x = 294,679,608,336/248,652
  6. Step 6: Final answer
    x = 1,185,108.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.