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Finding the Third Proportional to 248,064 and 544,727

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Solution

The third proportional to 248,064 and 544,727 is: 1,196,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,064 : 544,727 = 544,727 : x
  2. Step 2: Convert to fraction form
    248,064/544,727 = 544,727/x
  3. Step 3: Cross multiply
    248,064x = 544,727 × 544,727
  4. Step 4: Simplify right side
    248,064x = 296,727,504,529
  5. Step 5: Solve for x
    x = 296,727,504,529/248,064
  6. Step 6: Final answer
    x = 1,196,173.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.