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Finding the Third Proportional to 276,116 and 595,728

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Solution

The third proportional to 276,116 and 595,728 is: 1,285,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,116 : 595,728 = 595,728 : x
  2. Step 2: Convert to fraction form
    276,116/595,728 = 595,728/x
  3. Step 3: Cross multiply
    276,116x = 595,728 × 595,728
  4. Step 4: Simplify right side
    276,116x = 354,891,849,984
  5. Step 5: Solve for x
    x = 354,891,849,984/276,116
  6. Step 6: Final answer
    x = 1,285,299.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.