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Finding the Third Proportional to 362,756 and 777,928

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Solution

The third proportional to 362,756 and 777,928 is: 1,668,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,756 : 777,928 = 777,928 : x
  2. Step 2: Convert to fraction form
    362,756/777,928 = 777,928/x
  3. Step 3: Cross multiply
    362,756x = 777,928 × 777,928
  4. Step 4: Simplify right side
    362,756x = 605,171,973,184
  5. Step 5: Solve for x
    x = 605,171,973,184/362,756
  6. Step 6: Final answer
    x = 1,668,261.79

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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.