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Finding the Third Proportional to 304,834 and 670,000

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Solution

The third proportional to 304,834 and 670,000 is: 1,472,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,834 : 670,000 = 670,000 : x
  2. Step 2: Convert to fraction form
    304,834/670,000 = 670,000/x
  3. Step 3: Cross multiply
    304,834x = 670,000 × 670,000
  4. Step 4: Simplify right side
    304,834x = 448,900,000,000
  5. Step 5: Solve for x
    x = 448,900,000,000/304,834
  6. Step 6: Final answer
    x = 1,472,604.76

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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.