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Finding the Third Proportional to 579,085 and 835,401

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Solution

The third proportional to 579,085 and 835,401 is: 1,205,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,085 : 835,401 = 835,401 : x
  2. Step 2: Convert to fraction form
    579,085/835,401 = 835,401/x
  3. Step 3: Cross multiply
    579,085x = 835,401 × 835,401
  4. Step 4: Simplify right side
    579,085x = 697,894,830,801
  5. Step 5: Solve for x
    x = 697,894,830,801/579,085
  6. Step 6: Final answer
    x = 1,205,168.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.