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Finding the Third Proportional to 276,096 and 597,336

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Solution

The third proportional to 276,096 and 597,336 is: 1,292,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,096 : 597,336 = 597,336 : x
  2. Step 2: Convert to fraction form
    276,096/597,336 = 597,336/x
  3. Step 3: Cross multiply
    276,096x = 597,336 × 597,336
  4. Step 4: Simplify right side
    276,096x = 356,810,296,896
  5. Step 5: Solve for x
    x = 356,810,296,896/276,096
  6. Step 6: Final answer
    x = 1,292,341.42

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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.