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Finding the Third Proportional to 362,584.50 and 768,393

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Solution

The third proportional to 362,584.50 and 768,393 is: 1,628,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,584.50 : 768,393 = 768,393 : x
  2. Step 2: Convert to fraction form
    362,584.50/768,393 = 768,393/x
  3. Step 3: Cross multiply
    362,584.50x = 768,393 × 768,393
  4. Step 4: Simplify right side
    362,584.50x = 590,427,802,449
  5. Step 5: Solve for x
    x = 590,427,802,449/362,584.50
  6. Step 6: Final answer
    x = 1,628,386.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.