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Finding the Third Proportional to 334,512 and 491,064

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Solution

The third proportional to 334,512 and 491,064 is: 720,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,512 : 491,064 = 491,064 : x
  2. Step 2: Convert to fraction form
    334,512/491,064 = 491,064/x
  3. Step 3: Cross multiply
    334,512x = 491,064 × 491,064
  4. Step 4: Simplify right side
    334,512x = 241,143,852,096
  5. Step 5: Solve for x
    x = 241,143,852,096/334,512
  6. Step 6: Final answer
    x = 720,882.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.