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Finding the Third Proportional to 273,333 and 600,477

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Solution

The third proportional to 273,333 and 600,477 is: 1,319,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,333 : 600,477 = 600,477 : x
  2. Step 2: Convert to fraction form
    273,333/600,477 = 600,477/x
  3. Step 3: Cross multiply
    273,333x = 600,477 × 600,477
  4. Step 4: Simplify right side
    273,333x = 360,572,627,529
  5. Step 5: Solve for x
    x = 360,572,627,529/273,333
  6. Step 6: Final answer
    x = 1,319,169.76

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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.