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Finding the Third Proportional to 374,600 and 574,401

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Solution

The third proportional to 374,600 and 574,401 is: 880,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,600 : 574,401 = 574,401 : x
  2. Step 2: Convert to fraction form
    374,600/574,401 = 574,401/x
  3. Step 3: Cross multiply
    374,600x = 574,401 × 574,401
  4. Step 4: Simplify right side
    374,600x = 329,936,508,801
  5. Step 5: Solve for x
    x = 329,936,508,801/374,600
  6. Step 6: Final answer
    x = 880,770.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.