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Finding the Third Proportional to 213,674 and 467,039

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Solution

The third proportional to 213,674 and 467,039 is: 1,020,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,674 : 467,039 = 467,039 : x
  2. Step 2: Convert to fraction form
    213,674/467,039 = 467,039/x
  3. Step 3: Cross multiply
    213,674x = 467,039 × 467,039
  4. Step 4: Simplify right side
    213,674x = 218,125,427,521
  5. Step 5: Solve for x
    x = 218,125,427,521/213,674
  6. Step 6: Final answer
    x = 1,020,832.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.