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Finding the Third Proportional to 297,601 and 425,401

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Solution

The third proportional to 297,601 and 425,401 is: 608,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,601 : 425,401 = 425,401 : x
  2. Step 2: Convert to fraction form
    297,601/425,401 = 425,401/x
  3. Step 3: Cross multiply
    297,601x = 425,401 × 425,401
  4. Step 4: Simplify right side
    297,601x = 180,966,010,801
  5. Step 5: Solve for x
    x = 180,966,010,801/297,601
  6. Step 6: Final answer
    x = 608,082.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.