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Finding the Third Proportional to 481,612 and 763,242

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Solution

The third proportional to 481,612 and 763,242 is: 1,209,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,612 : 763,242 = 763,242 : x
  2. Step 2: Convert to fraction form
    481,612/763,242 = 763,242/x
  3. Step 3: Cross multiply
    481,612x = 763,242 × 763,242
  4. Step 4: Simplify right side
    481,612x = 582,538,350,564
  5. Step 5: Solve for x
    x = 582,538,350,564/481,612
  6. Step 6: Final answer
    x = 1,209,559.46

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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.