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Finding the Third Proportional to 304,838 and 670,008

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Solution

The third proportional to 304,838 and 670,008 is: 1,472,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,838 : 670,008 = 670,008 : x
  2. Step 2: Convert to fraction form
    304,838/670,008 = 670,008/x
  3. Step 3: Cross multiply
    304,838x = 670,008 × 670,008
  4. Step 4: Simplify right side
    304,838x = 448,910,720,064
  5. Step 5: Solve for x
    x = 448,910,720,064/304,838
  6. Step 6: Final answer
    x = 1,472,620.61

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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.