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Finding the Third Proportional to 301,066 and 440,296

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Solution

The third proportional to 301,066 and 440,296 is: 643,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,066 : 440,296 = 440,296 : x
  2. Step 2: Convert to fraction form
    301,066/440,296 = 440,296/x
  3. Step 3: Cross multiply
    301,066x = 440,296 × 440,296
  4. Step 4: Simplify right side
    301,066x = 193,860,567,616
  5. Step 5: Solve for x
    x = 193,860,567,616/301,066
  6. Step 6: Final answer
    x = 643,913.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.