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Finding the Third Proportional to 304,850 and 428,917

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Solution

The third proportional to 304,850 and 428,917 is: 603,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,850 : 428,917 = 428,917 : x
  2. Step 2: Convert to fraction form
    304,850/428,917 = 428,917/x
  3. Step 3: Cross multiply
    304,850x = 428,917 × 428,917
  4. Step 4: Simplify right side
    304,850x = 183,969,792,889
  5. Step 5: Solve for x
    x = 183,969,792,889/304,850
  6. Step 6: Final answer
    x = 603,476.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.