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Finding the Third Proportional to 273,303 and 599,256

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Solution

The third proportional to 273,303 and 599,256 is: 1,313,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,303 : 599,256 = 599,256 : x
  2. Step 2: Convert to fraction form
    273,303/599,256 = 599,256/x
  3. Step 3: Cross multiply
    273,303x = 599,256 × 599,256
  4. Step 4: Simplify right side
    273,303x = 359,107,753,536
  5. Step 5: Solve for x
    x = 359,107,753,536/273,303
  6. Step 6: Final answer
    x = 1,313,954.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.