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Finding the Third Proportional to 397,324 and 869,728

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Solution

The third proportional to 397,324 and 869,728 is: 1,903,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,324 : 869,728 = 869,728 : x
  2. Step 2: Convert to fraction form
    397,324/869,728 = 869,728/x
  3. Step 3: Cross multiply
    397,324x = 869,728 × 869,728
  4. Step 4: Simplify right side
    397,324x = 756,426,793,984
  5. Step 5: Solve for x
    x = 756,426,793,984/397,324
  6. Step 6: Final answer
    x = 1,903,803.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.