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Finding the Third Proportional to 484,497 and 743,694

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Solution

The third proportional to 484,497 and 743,694 is: 1,141,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,497 : 743,694 = 743,694 : x
  2. Step 2: Convert to fraction form
    484,497/743,694 = 743,694/x
  3. Step 3: Cross multiply
    484,497x = 743,694 × 743,694
  4. Step 4: Simplify right side
    484,497x = 553,080,765,636
  5. Step 5: Solve for x
    x = 553,080,765,636/484,497
  6. Step 6: Final answer
    x = 1,141,556.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.