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Finding the Third Proportional to 304,562 and 701,933

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Solution

The third proportional to 304,562 and 701,933 is: 1,617,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,562 : 701,933 = 701,933 : x
  2. Step 2: Convert to fraction form
    304,562/701,933 = 701,933/x
  3. Step 3: Cross multiply
    304,562x = 701,933 × 701,933
  4. Step 4: Simplify right side
    304,562x = 492,709,936,489
  5. Step 5: Solve for x
    x = 492,709,936,489/304,562
  6. Step 6: Final answer
    x = 1,617,765.63

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.