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Finding the Third Proportional to 253,419 and 550,650

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Solution

The third proportional to 253,419 and 550,650 is: 1,196,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,419 : 550,650 = 550,650 : x
  2. Step 2: Convert to fraction form
    253,419/550,650 = 550,650/x
  3. Step 3: Cross multiply
    253,419x = 550,650 × 550,650
  4. Step 4: Simplify right side
    253,419x = 303,215,422,500
  5. Step 5: Solve for x
    x = 303,215,422,500/253,419
  6. Step 6: Final answer
    x = 1,196,498.38

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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.