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Finding the Third Proportional to 481,504 and 749,064

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Solution

The third proportional to 481,504 and 749,064 is: 1,165,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,504 : 749,064 = 749,064 : x
  2. Step 2: Convert to fraction form
    481,504/749,064 = 749,064/x
  3. Step 3: Cross multiply
    481,504x = 749,064 × 749,064
  4. Step 4: Simplify right side
    481,504x = 561,096,876,096
  5. Step 5: Solve for x
    x = 561,096,876,096/481,504
  6. Step 6: Final answer
    x = 1,165,300.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.