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Finding the Third Proportional to 481,682 and 740,636

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Solution

The third proportional to 481,682 and 740,636 is: 1,138,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,682 : 740,636 = 740,636 : x
  2. Step 2: Convert to fraction form
    481,682/740,636 = 740,636/x
  3. Step 3: Cross multiply
    481,682x = 740,636 × 740,636
  4. Step 4: Simplify right side
    481,682x = 548,541,684,496
  5. Step 5: Solve for x
    x = 548,541,684,496/481,682
  6. Step 6: Final answer
    x = 1,138,804.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.