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Finding the Third Proportional to 296,831 and 660,100

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Solution

The third proportional to 296,831 and 660,100 is: 1,467,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,831 : 660,100 = 660,100 : x
  2. Step 2: Convert to fraction form
    296,831/660,100 = 660,100/x
  3. Step 3: Cross multiply
    296,831x = 660,100 × 660,100
  4. Step 4: Simplify right side
    296,831x = 435,732,010,000
  5. Step 5: Solve for x
    x = 435,732,010,000/296,831
  6. Step 6: Final answer
    x = 1,467,946.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.