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Finding the Third Proportional to 320,085 and 689,790

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Solution

The third proportional to 320,085 and 689,790 is: 1,486,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,085 : 689,790 = 689,790 : x
  2. Step 2: Convert to fraction form
    320,085/689,790 = 689,790/x
  3. Step 3: Cross multiply
    320,085x = 689,790 × 689,790
  4. Step 4: Simplify right side
    320,085x = 475,810,244,100
  5. Step 5: Solve for x
    x = 475,810,244,100/320,085
  6. Step 6: Final answer
    x = 1,486,512.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.