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Finding the Third Proportional to 393,720 and 843,201

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Solution

The third proportional to 393,720 and 843,201 is: 1,805,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,720 : 843,201 = 843,201 : x
  2. Step 2: Convert to fraction form
    393,720/843,201 = 843,201/x
  3. Step 3: Cross multiply
    393,720x = 843,201 × 843,201
  4. Step 4: Simplify right side
    393,720x = 710,987,926,401
  5. Step 5: Solve for x
    x = 710,987,926,401/393,720
  6. Step 6: Final answer
    x = 1,805,821.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.