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Finding the Third Proportional to 304,576 and 654,512

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Solution

The third proportional to 304,576 and 654,512 is: 1,406,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,576 : 654,512 = 654,512 : x
  2. Step 2: Convert to fraction form
    304,576/654,512 = 654,512/x
  3. Step 3: Cross multiply
    304,576x = 654,512 × 654,512
  4. Step 4: Simplify right side
    304,576x = 428,385,958,144
  5. Step 5: Solve for x
    x = 428,385,958,144/304,576
  6. Step 6: Final answer
    x = 1,406,499.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.