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Finding the Third Proportional to 248,058 and 544,716

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Solution

The third proportional to 248,058 and 544,716 is: 1,196,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,058 : 544,716 = 544,716 : x
  2. Step 2: Convert to fraction form
    248,058/544,716 = 544,716/x
  3. Step 3: Cross multiply
    248,058x = 544,716 × 544,716
  4. Step 4: Simplify right side
    248,058x = 296,715,520,656
  5. Step 5: Solve for x
    x = 296,715,520,656/248,058
  6. Step 6: Final answer
    x = 1,196,153.81

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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.