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Finding the Third Proportional to 264,072 and 397,374

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Solution

The third proportional to 264,072 and 397,374 is: 597,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,072 : 397,374 = 397,374 : x
  2. Step 2: Convert to fraction form
    264,072/397,374 = 397,374/x
  3. Step 3: Cross multiply
    264,072x = 397,374 × 397,374
  4. Step 4: Simplify right side
    264,072x = 157,906,095,876
  5. Step 5: Solve for x
    x = 157,906,095,876/264,072
  6. Step 6: Final answer
    x = 597,966.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.