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Finding the Third Proportional to 323,694 and 660,222

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Solution

The third proportional to 323,694 and 660,222 is: 1,346,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,694 : 660,222 = 660,222 : x
  2. Step 2: Convert to fraction form
    323,694/660,222 = 660,222/x
  3. Step 3: Cross multiply
    323,694x = 660,222 × 660,222
  4. Step 4: Simplify right side
    323,694x = 435,893,089,284
  5. Step 5: Solve for x
    x = 435,893,089,284/323,694
  6. Step 6: Final answer
    x = 1,346,620.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.