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Finding the Third Proportional to 263,129 and 384,704

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Solution

The third proportional to 263,129 and 384,704 is: 562,450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,129 : 384,704 = 384,704 : x
  2. Step 2: Convert to fraction form
    263,129/384,704 = 384,704/x
  3. Step 3: Cross multiply
    263,129x = 384,704 × 384,704
  4. Step 4: Simplify right side
    263,129x = 147,997,167,616
  5. Step 5: Solve for x
    x = 147,997,167,616/263,129
  6. Step 6: Final answer
    x = 562,450.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.