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Finding the Third Proportional to 301,395 and 409,333

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Solution

The third proportional to 301,395 and 409,333 is: 555,926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,395 : 409,333 = 409,333 : x
  2. Step 2: Convert to fraction form
    301,395/409,333 = 409,333/x
  3. Step 3: Cross multiply
    301,395x = 409,333 × 409,333
  4. Step 4: Simplify right side
    301,395x = 167,553,504,889
  5. Step 5: Solve for x
    x = 167,553,504,889/301,395
  6. Step 6: Final answer
    x = 555,926.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.