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Finding the Third Proportional to 277,704 and 597,600

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Solution

The third proportional to 277,704 and 597,600 is: 1,285,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,704 : 597,600 = 597,600 : x
  2. Step 2: Convert to fraction form
    277,704/597,600 = 597,600/x
  3. Step 3: Cross multiply
    277,704x = 597,600 × 597,600
  4. Step 4: Simplify right side
    277,704x = 357,125,760,000
  5. Step 5: Solve for x
    x = 357,125,760,000/277,704
  6. Step 6: Final answer
    x = 1,285,994.30

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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.