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Finding the Third Proportional to 481,960.13 and 773,924.63

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Solution

The third proportional to 481,960.13 and 773,924.63 is: 1,242,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,960.13 : 773,924.63 = 773,924.63 : x
  2. Step 2: Convert to fraction form
    481,960.13/773,924.63 = 773,924.63/x
  3. Step 3: Cross multiply
    481,960.13x = 773,924.63 × 773,924.63
  4. Step 4: Simplify right side
    481,960.13x = 598,959,325,181.39
  5. Step 5: Solve for x
    x = 598,959,325,181.39/481,960.13
  6. Step 6: Final answer
    x = 1,242,757.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.