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Finding the Third Proportional to 327,224 and 701,064

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Solution

The third proportional to 327,224 and 701,064 is: 1,502,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,224 : 701,064 = 701,064 : x
  2. Step 2: Convert to fraction form
    327,224/701,064 = 701,064/x
  3. Step 3: Cross multiply
    327,224x = 701,064 × 701,064
  4. Step 4: Simplify right side
    327,224x = 491,490,732,096
  5. Step 5: Solve for x
    x = 491,490,732,096/327,224
  6. Step 6: Final answer
    x = 1,502,000.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.