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Finding the Third Proportional to 277,708 and 597,608

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Solution

The third proportional to 277,708 and 597,608 is: 1,286,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,708 : 597,608 = 597,608 : x
  2. Step 2: Convert to fraction form
    277,708/597,608 = 597,608/x
  3. Step 3: Cross multiply
    277,708x = 597,608 × 597,608
  4. Step 4: Simplify right side
    277,708x = 357,135,321,664
  5. Step 5: Solve for x
    x = 357,135,321,664/277,708
  6. Step 6: Final answer
    x = 1,286,010.20

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Why These Related Problems?

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