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Finding the Third Proportional to 481,708 and 677,752

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Solution

The third proportional to 481,708 and 677,752 is: 953,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,708 : 677,752 = 677,752 : x
  2. Step 2: Convert to fraction form
    481,708/677,752 = 677,752/x
  3. Step 3: Cross multiply
    481,708x = 677,752 × 677,752
  4. Step 4: Simplify right side
    481,708x = 459,347,773,504
  5. Step 5: Solve for x
    x = 459,347,773,504/481,708
  6. Step 6: Final answer
    x = 953,581.37

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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.