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Finding the Third Proportional to 289,652 and 404,652

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Solution

The third proportional to 289,652 and 404,652 is: 565,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,652 : 404,652 = 404,652 : x
  2. Step 2: Convert to fraction form
    289,652/404,652 = 404,652/x
  3. Step 3: Cross multiply
    289,652x = 404,652 × 404,652
  4. Step 4: Simplify right side
    289,652x = 163,743,241,104
  5. Step 5: Solve for x
    x = 163,743,241,104/289,652
  6. Step 6: Final answer
    x = 565,310.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.