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Finding the Third Proportional to 276,125 and 603,946

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Solution

The third proportional to 276,125 and 603,946 is: 1,320,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,125 : 603,946 = 603,946 : x
  2. Step 2: Convert to fraction form
    276,125/603,946 = 603,946/x
  3. Step 3: Cross multiply
    276,125x = 603,946 × 603,946
  4. Step 4: Simplify right side
    276,125x = 364,750,770,916
  5. Step 5: Solve for x
    x = 364,750,770,916/276,125
  6. Step 6: Final answer
    x = 1,320,962.50

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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.