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Finding the Third Proportional to 525,992 and 854,556

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Solution

The third proportional to 525,992 and 854,556 is: 1,388,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,992 : 854,556 = 854,556 : x
  2. Step 2: Convert to fraction form
    525,992/854,556 = 854,556/x
  3. Step 3: Cross multiply
    525,992x = 854,556 × 854,556
  4. Step 4: Simplify right side
    525,992x = 730,265,957,136
  5. Step 5: Solve for x
    x = 730,265,957,136/525,992
  6. Step 6: Final answer
    x = 1,388,359.44

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.