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Finding the Third Proportional to 304,992 and 462,672

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Solution

The third proportional to 304,992 and 462,672 is: 701,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,992 : 462,672 = 462,672 : x
  2. Step 2: Convert to fraction form
    304,992/462,672 = 462,672/x
  3. Step 3: Cross multiply
    304,992x = 462,672 × 462,672
  4. Step 4: Simplify right side
    304,992x = 214,065,379,584
  5. Step 5: Solve for x
    x = 214,065,379,584/304,992
  6. Step 6: Final answer
    x = 701,872.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.