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Finding the Third Proportional to 320,112 and 699,264

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Solution

The third proportional to 320,112 and 699,264 is: 1,527,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,112 : 699,264 = 699,264 : x
  2. Step 2: Convert to fraction form
    320,112/699,264 = 699,264/x
  3. Step 3: Cross multiply
    320,112x = 699,264 × 699,264
  4. Step 4: Simplify right side
    320,112x = 488,970,141,696
  5. Step 5: Solve for x
    x = 488,970,141,696/320,112
  6. Step 6: Final answer
    x = 1,527,497.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.