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Finding the Third Proportional to 277,945 and 606,715

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Solution

The third proportional to 277,945 and 606,715 is: 1,324,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,945 : 606,715 = 606,715 : x
  2. Step 2: Convert to fraction form
    277,945/606,715 = 606,715/x
  3. Step 3: Cross multiply
    277,945x = 606,715 × 606,715
  4. Step 4: Simplify right side
    277,945x = 368,103,091,225
  5. Step 5: Solve for x
    x = 368,103,091,225/277,945
  6. Step 6: Final answer
    x = 1,324,373.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.