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Finding the Third Proportional to 336,872 and 730,401

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Solution

The third proportional to 336,872 and 730,401 is: 1,583,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,872 : 730,401 = 730,401 : x
  2. Step 2: Convert to fraction form
    336,872/730,401 = 730,401/x
  3. Step 3: Cross multiply
    336,872x = 730,401 × 730,401
  4. Step 4: Simplify right side
    336,872x = 533,485,620,801
  5. Step 5: Solve for x
    x = 533,485,620,801/336,872
  6. Step 6: Final answer
    x = 1,583,644.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.