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Finding the Third Proportional to 544,082 and 816,125

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Solution

The third proportional to 544,082 and 816,125 is: 1,224,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,082 : 816,125 = 816,125 : x
  2. Step 2: Convert to fraction form
    544,082/816,125 = 816,125/x
  3. Step 3: Cross multiply
    544,082x = 816,125 × 816,125
  4. Step 4: Simplify right side
    544,082x = 666,060,015,625
  5. Step 5: Solve for x
    x = 666,060,015,625/544,082
  6. Step 6: Final answer
    x = 1,224,190.50

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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.