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Finding the Third Proportional to 447,930 and 679,002

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Solution

The third proportional to 447,930 and 679,002 is: 1,029,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,930 : 679,002 = 679,002 : x
  2. Step 2: Convert to fraction form
    447,930/679,002 = 679,002/x
  3. Step 3: Cross multiply
    447,930x = 679,002 × 679,002
  4. Step 4: Simplify right side
    447,930x = 461,043,716,004
  5. Step 5: Solve for x
    x = 461,043,716,004/447,930
  6. Step 6: Final answer
    x = 1,029,276.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.