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Finding the Third Proportional to 323,670 and 660,192

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Solution

The third proportional to 323,670 and 660,192 is: 1,346,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,670 : 660,192 = 660,192 : x
  2. Step 2: Convert to fraction form
    323,670/660,192 = 660,192/x
  3. Step 3: Cross multiply
    323,670x = 660,192 × 660,192
  4. Step 4: Simplify right side
    323,670x = 435,853,476,864
  5. Step 5: Solve for x
    x = 435,853,476,864/323,670
  6. Step 6: Final answer
    x = 1,346,598.32

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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.