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Finding the Third Proportional to 608,067 and 842,481

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Solution

The third proportional to 608,067 and 842,481 is: 1,167,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,067 : 842,481 = 842,481 : x
  2. Step 2: Convert to fraction form
    608,067/842,481 = 842,481/x
  3. Step 3: Cross multiply
    608,067x = 842,481 × 842,481
  4. Step 4: Simplify right side
    608,067x = 709,774,235,361
  5. Step 5: Solve for x
    x = 709,774,235,361/608,067
  6. Step 6: Final answer
    x = 1,167,263.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.