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Finding the Third Proportional to 281,067 and 663,475

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Solution

The third proportional to 281,067 and 663,475 is: 1,566,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,067 : 663,475 = 663,475 : x
  2. Step 2: Convert to fraction form
    281,067/663,475 = 663,475/x
  3. Step 3: Cross multiply
    281,067x = 663,475 × 663,475
  4. Step 4: Simplify right side
    281,067x = 440,199,075,625
  5. Step 5: Solve for x
    x = 440,199,075,625/281,067
  6. Step 6: Final answer
    x = 1,566,171.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.