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Finding the Third Proportional to 481,506 and 749,067

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Solution

The third proportional to 481,506 and 749,067 is: 1,165,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,506 : 749,067 = 749,067 : x
  2. Step 2: Convert to fraction form
    481,506/749,067 = 749,067/x
  3. Step 3: Cross multiply
    481,506x = 749,067 × 749,067
  4. Step 4: Simplify right side
    481,506x = 561,101,370,489
  5. Step 5: Solve for x
    x = 561,101,370,489/481,506
  6. Step 6: Final answer
    x = 1,165,305.04

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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.