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Finding the Third Proportional to 277,774 and 597,740

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Solution

The third proportional to 277,774 and 597,740 is: 1,286,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,774 : 597,740 = 597,740 : x
  2. Step 2: Convert to fraction form
    277,774/597,740 = 597,740/x
  3. Step 3: Cross multiply
    277,774x = 597,740 × 597,740
  4. Step 4: Simplify right side
    277,774x = 357,293,107,600
  5. Step 5: Solve for x
    x = 357,293,107,600/277,774
  6. Step 6: Final answer
    x = 1,286,272.68

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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.