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Finding the Third Proportional to 298,804 and 642,920

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Solution

The third proportional to 298,804 and 642,920 is: 1,383,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,804 : 642,920 = 642,920 : x
  2. Step 2: Convert to fraction form
    298,804/642,920 = 642,920/x
  3. Step 3: Cross multiply
    298,804x = 642,920 × 642,920
  4. Step 4: Simplify right side
    298,804x = 413,346,126,400
  5. Step 5: Solve for x
    x = 413,346,126,400/298,804
  6. Step 6: Final answer
    x = 1,383,335.32

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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.