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Finding the Third Proportional to 253,412 and 550,636

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Solution

The third proportional to 253,412 and 550,636 is: 1,196,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,412 : 550,636 = 550,636 : x
  2. Step 2: Convert to fraction form
    253,412/550,636 = 550,636/x
  3. Step 3: Cross multiply
    253,412x = 550,636 × 550,636
  4. Step 4: Simplify right side
    253,412x = 303,200,004,496
  5. Step 5: Solve for x
    x = 303,200,004,496/253,412
  6. Step 6: Final answer
    x = 1,196,470.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.