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Finding the Third Proportional to 277,152.75 and 597,003

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Solution

The third proportional to 277,152.75 and 597,003 is: 1,285,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,152.75 : 597,003 = 597,003 : x
  2. Step 2: Convert to fraction form
    277,152.75/597,003 = 597,003/x
  3. Step 3: Cross multiply
    277,152.75x = 597,003 × 597,003
  4. Step 4: Simplify right side
    277,152.75x = 356,412,582,009
  5. Step 5: Solve for x
    x = 356,412,582,009/277,152.75
  6. Step 6: Final answer
    x = 1,285,978.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.