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Finding the Third Proportional to 263,888 and 622,316

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Solution

The third proportional to 263,888 and 622,316 is: 1,467,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,888 : 622,316 = 622,316 : x
  2. Step 2: Convert to fraction form
    263,888/622,316 = 622,316/x
  3. Step 3: Cross multiply
    263,888x = 622,316 × 622,316
  4. Step 4: Simplify right side
    263,888x = 387,277,203,856
  5. Step 5: Solve for x
    x = 387,277,203,856/263,888
  6. Step 6: Final answer
    x = 1,467,581.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.