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Finding the Third Proportional to 273,318 and 600,447

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Solution

The third proportional to 273,318 and 600,447 is: 1,319,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,318 : 600,447 = 600,447 : x
  2. Step 2: Convert to fraction form
    273,318/600,447 = 600,447/x
  3. Step 3: Cross multiply
    273,318x = 600,447 × 600,447
  4. Step 4: Simplify right side
    273,318x = 360,536,599,809
  5. Step 5: Solve for x
    x = 360,536,599,809/273,318
  6. Step 6: Final answer
    x = 1,319,110.34

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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.