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Finding the Third Proportional to 481,365 and 744,980

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Solution

The third proportional to 481,365 and 744,980 is: 1,152,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,365 : 744,980 = 744,980 : x
  2. Step 2: Convert to fraction form
    481,365/744,980 = 744,980/x
  3. Step 3: Cross multiply
    481,365x = 744,980 × 744,980
  4. Step 4: Simplify right side
    481,365x = 554,995,200,400
  5. Step 5: Solve for x
    x = 554,995,200,400/481,365
  6. Step 6: Final answer
    x = 1,152,961.27

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