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Finding the Third Proportional to 340,743 and 534,556

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Solution

The third proportional to 340,743 and 534,556 is: 838,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,743 : 534,556 = 534,556 : x
  2. Step 2: Convert to fraction form
    340,743/534,556 = 534,556/x
  3. Step 3: Cross multiply
    340,743x = 534,556 × 534,556
  4. Step 4: Simplify right side
    340,743x = 285,750,117,136
  5. Step 5: Solve for x
    x = 285,750,117,136/340,743
  6. Step 6: Final answer
    x = 838,608.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.