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Finding the Third Proportional to 401,236 and 609,734

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Solution

The third proportional to 401,236 and 609,734 is: 926,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,236 : 609,734 = 609,734 : x
  2. Step 2: Convert to fraction form
    401,236/609,734 = 609,734/x
  3. Step 3: Cross multiply
    401,236x = 609,734 × 609,734
  4. Step 4: Simplify right side
    401,236x = 371,775,550,756
  5. Step 5: Solve for x
    x = 371,775,550,756/401,236
  6. Step 6: Final answer
    x = 926,575.76

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Why These Related Problems?

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