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Finding the Third Proportional to 481,367 and 744,983

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Solution

The third proportional to 481,367 and 744,983 is: 1,152,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,367 : 744,983 = 744,983 : x
  2. Step 2: Convert to fraction form
    481,367/744,983 = 744,983/x
  3. Step 3: Cross multiply
    481,367x = 744,983 × 744,983
  4. Step 4: Simplify right side
    481,367x = 554,999,670,289
  5. Step 5: Solve for x
    x = 554,999,670,289/481,367
  6. Step 6: Final answer
    x = 1,152,965.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.