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Finding the Third Proportional to 233,280 and 476,401

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Solution

The third proportional to 233,280 and 476,401 is: 972,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,280 : 476,401 = 476,401 : x
  2. Step 2: Convert to fraction form
    233,280/476,401 = 476,401/x
  3. Step 3: Cross multiply
    233,280x = 476,401 × 476,401
  4. Step 4: Simplify right side
    233,280x = 226,957,912,801
  5. Step 5: Solve for x
    x = 226,957,912,801/233,280
  6. Step 6: Final answer
    x = 972,899.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.