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Finding the Third Proportional to 241,570 and 568,401

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Solution

The third proportional to 241,570 and 568,401 is: 1,337,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,570 : 568,401 = 568,401 : x
  2. Step 2: Convert to fraction form
    241,570/568,401 = 568,401/x
  3. Step 3: Cross multiply
    241,570x = 568,401 × 568,401
  4. Step 4: Simplify right side
    241,570x = 323,079,696,801
  5. Step 5: Solve for x
    x = 323,079,696,801/241,570
  6. Step 6: Final answer
    x = 1,337,416.47

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.