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Finding the Third Proportional to 364,398 and 768,405

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Solution

The third proportional to 364,398 and 768,405 is: 1,620,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,398 : 768,405 = 768,405 : x
  2. Step 2: Convert to fraction form
    364,398/768,405 = 768,405/x
  3. Step 3: Cross multiply
    364,398x = 768,405 × 768,405
  4. Step 4: Simplify right side
    364,398x = 590,446,244,025
  5. Step 5: Solve for x
    x = 590,446,244,025/364,398
  6. Step 6: Final answer
    x = 1,620,333.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.