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Finding the Third Proportional to 481,392 and 762,912

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Solution

The third proportional to 481,392 and 762,912 is: 1,209,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,392 : 762,912 = 762,912 : x
  2. Step 2: Convert to fraction form
    481,392/762,912 = 762,912/x
  3. Step 3: Cross multiply
    481,392x = 762,912 × 762,912
  4. Step 4: Simplify right side
    481,392x = 582,034,719,744
  5. Step 5: Solve for x
    x = 582,034,719,744/481,392
  6. Step 6: Final answer
    x = 1,209,066.04

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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.