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Finding the Third Proportional to 351,096 and 501,720

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Solution

The third proportional to 351,096 and 501,720 is: 716,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,096 : 501,720 = 501,720 : x
  2. Step 2: Convert to fraction form
    351,096/501,720 = 501,720/x
  3. Step 3: Cross multiply
    351,096x = 501,720 × 501,720
  4. Step 4: Simplify right side
    351,096x = 251,722,958,400
  5. Step 5: Solve for x
    x = 251,722,958,400/351,096
  6. Step 6: Final answer
    x = 716,963.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.