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Finding the Third Proportional to 301,376 and 664,083

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Solution

The third proportional to 301,376 and 664,083 is: 1,463,309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,376 : 664,083 = 664,083 : x
  2. Step 2: Convert to fraction form
    301,376/664,083 = 664,083/x
  3. Step 3: Cross multiply
    301,376x = 664,083 × 664,083
  4. Step 4: Simplify right side
    301,376x = 441,006,230,889
  5. Step 5: Solve for x
    x = 441,006,230,889/301,376
  6. Step 6: Final answer
    x = 1,463,309.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.