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Finding the Third Proportional to 362,591.44 and 768,403.13

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Solution

The third proportional to 362,591.44 and 768,403.13 is: 1,628,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,591.44 : 768,403.13 = 768,403.13 : x
  2. Step 2: Convert to fraction form
    362,591.44/768,403.13 = 768,403.13/x
  3. Step 3: Cross multiply
    362,591.44x = 768,403.13 × 768,403.13
  4. Step 4: Simplify right side
    362,591.44x = 590,443,362,509.77
  5. Step 5: Solve for x
    x = 590,443,362,509.77/362,591.44
  6. Step 6: Final answer
    x = 1,628,398.53

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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.