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Finding the Third Proportional to 382,109 and 830,556

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Solution

The third proportional to 382,109 and 830,556 is: 1,805,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,109 : 830,556 = 830,556 : x
  2. Step 2: Convert to fraction form
    382,109/830,556 = 830,556/x
  3. Step 3: Cross multiply
    382,109x = 830,556 × 830,556
  4. Step 4: Simplify right side
    382,109x = 689,823,269,136
  5. Step 5: Solve for x
    x = 689,823,269,136/382,109
  6. Step 6: Final answer
    x = 1,805,304.95

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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.