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Finding the Third Proportional to 362,751 and 777,918

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Solution

The third proportional to 362,751 and 777,918 is: 1,668,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,751 : 777,918 = 777,918 : x
  2. Step 2: Convert to fraction form
    362,751/777,918 = 777,918/x
  3. Step 3: Cross multiply
    362,751x = 777,918 × 777,918
  4. Step 4: Simplify right side
    362,751x = 605,156,414,724
  5. Step 5: Solve for x
    x = 605,156,414,724/362,751
  6. Step 6: Final answer
    x = 1,668,241.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.