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Finding the Third Proportional to 283,600 and 425,401

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Solution

The third proportional to 283,600 and 425,401 is: 638,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,600 : 425,401 = 425,401 : x
  2. Step 2: Convert to fraction form
    283,600/425,401 = 425,401/x
  3. Step 3: Cross multiply
    283,600x = 425,401 × 425,401
  4. Step 4: Simplify right side
    283,600x = 180,966,010,801
  5. Step 5: Solve for x
    x = 180,966,010,801/283,600
  6. Step 6: Final answer
    x = 638,103.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.