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Finding the Third Proportional to 275,251 and 425,401

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Solution

The third proportional to 275,251 and 425,401 is: 657,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,251 : 425,401 = 425,401 : x
  2. Step 2: Convert to fraction form
    275,251/425,401 = 425,401/x
  3. Step 3: Cross multiply
    275,251x = 425,401 × 425,401
  4. Step 4: Simplify right side
    275,251x = 180,966,010,801
  5. Step 5: Solve for x
    x = 180,966,010,801/275,251
  6. Step 6: Final answer
    x = 657,458.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.