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Finding the Third Proportional to 253,384 and 550,872

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Solution

The third proportional to 253,384 and 550,872 is: 1,197,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,384 : 550,872 = 550,872 : x
  2. Step 2: Convert to fraction form
    253,384/550,872 = 550,872/x
  3. Step 3: Cross multiply
    253,384x = 550,872 × 550,872
  4. Step 4: Simplify right side
    253,384x = 303,459,960,384
  5. Step 5: Solve for x
    x = 303,459,960,384/253,384
  6. Step 6: Final answer
    x = 1,197,628.74

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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.