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Finding the Third Proportional to 246,771 and 535,827

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Solution

The third proportional to 246,771 and 535,827 is: 1,163,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,771 : 535,827 = 535,827 : x
  2. Step 2: Convert to fraction form
    246,771/535,827 = 535,827/x
  3. Step 3: Cross multiply
    246,771x = 535,827 × 535,827
  4. Step 4: Simplify right side
    246,771x = 287,110,573,929
  5. Step 5: Solve for x
    x = 287,110,573,929/246,771
  6. Step 6: Final answer
    x = 1,163,469.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.