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Finding the Third Proportional to 399,264 and 856,944

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Solution

The third proportional to 399,264 and 856,944 is: 1,839,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,264 : 856,944 = 856,944 : x
  2. Step 2: Convert to fraction form
    399,264/856,944 = 856,944/x
  3. Step 3: Cross multiply
    399,264x = 856,944 × 856,944
  4. Step 4: Simplify right side
    399,264x = 734,353,019,136
  5. Step 5: Solve for x
    x = 734,353,019,136/399,264
  6. Step 6: Final answer
    x = 1,839,266.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.