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Finding the Third Proportional to 204,401 and 477,429

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Solution

The third proportional to 204,401 and 477,429 is: 1,115,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,401 : 477,429 = 477,429 : x
  2. Step 2: Convert to fraction form
    204,401/477,429 = 477,429/x
  3. Step 3: Cross multiply
    204,401x = 477,429 × 477,429
  4. Step 4: Simplify right side
    204,401x = 227,938,450,041
  5. Step 5: Solve for x
    x = 227,938,450,041/204,401
  6. Step 6: Final answer
    x = 1,115,153.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.