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Finding the Third Proportional to 481,726 and 677,779

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Solution

The third proportional to 481,726 and 677,779 is: 953,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,726 : 677,779 = 677,779 : x
  2. Step 2: Convert to fraction form
    481,726/677,779 = 677,779/x
  3. Step 3: Cross multiply
    481,726x = 677,779 × 677,779
  4. Step 4: Simplify right side
    481,726x = 459,384,372,841
  5. Step 5: Solve for x
    x = 459,384,372,841/481,726
  6. Step 6: Final answer
    x = 953,621.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.