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Finding the Third Proportional to 384,608 and 835,556

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Solution

The third proportional to 384,608 and 835,556 is: 1,815,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,608 : 835,556 = 835,556 : x
  2. Step 2: Convert to fraction form
    384,608/835,556 = 835,556/x
  3. Step 3: Cross multiply
    384,608x = 835,556 × 835,556
  4. Step 4: Simplify right side
    384,608x = 698,153,829,136
  5. Step 5: Solve for x
    x = 698,153,829,136/384,608
  6. Step 6: Final answer
    x = 1,815,234.81

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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.