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Finding the Third Proportional to 401,193 and 609,687

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Solution

The third proportional to 401,193 and 609,687 is: 926,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,193 : 609,687 = 609,687 : x
  2. Step 2: Convert to fraction form
    401,193/609,687 = 609,687/x
  3. Step 3: Cross multiply
    401,193x = 609,687 × 609,687
  4. Step 4: Simplify right side
    401,193x = 371,718,237,969
  5. Step 5: Solve for x
    x = 371,718,237,969/401,193
  6. Step 6: Final answer
    x = 926,532.21

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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.