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Finding the Third Proportional to 481,652 and 763,298

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Solution

The third proportional to 481,652 and 763,298 is: 1,209,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,652 : 763,298 = 763,298 : x
  2. Step 2: Convert to fraction form
    481,652/763,298 = 763,298/x
  3. Step 3: Cross multiply
    481,652x = 763,298 × 763,298
  4. Step 4: Simplify right side
    481,652x = 582,623,836,804
  5. Step 5: Solve for x
    x = 582,623,836,804/481,652
  6. Step 6: Final answer
    x = 1,209,636.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.