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Finding the Third Proportional to 277,269.75 and 567,678.38

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Solution

The third proportional to 277,269.75 and 567,678.38 is: 1,162,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,269.75 : 567,678.38 = 567,678.38 : x
  2. Step 2: Convert to fraction form
    277,269.75/567,678.38 = 567,678.38/x
  3. Step 3: Cross multiply
    277,269.75x = 567,678.38 × 567,678.38
  4. Step 4: Simplify right side
    277,269.75x = 322,258,737,442.64
  5. Step 5: Solve for x
    x = 322,258,737,442.64/277,269.75
  6. Step 6: Final answer
    x = 1,162,257.11

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.