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Finding the Third Proportional to 348,096 and 535,984

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Solution

The third proportional to 348,096 and 535,984 is: 825,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,096 : 535,984 = 535,984 : x
  2. Step 2: Convert to fraction form
    348,096/535,984 = 535,984/x
  3. Step 3: Cross multiply
    348,096x = 535,984 × 535,984
  4. Step 4: Simplify right side
    348,096x = 287,278,848,256
  5. Step 5: Solve for x
    x = 287,278,848,256/348,096
  6. Step 6: Final answer
    x = 825,286.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.