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Finding the Third Proportional to 225,513 and 490,374

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Solution

The third proportional to 225,513 and 490,374 is: 1,066,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,513 : 490,374 = 490,374 : x
  2. Step 2: Convert to fraction form
    225,513/490,374 = 490,374/x
  3. Step 3: Cross multiply
    225,513x = 490,374 × 490,374
  4. Step 4: Simplify right side
    225,513x = 240,466,659,876
  5. Step 5: Solve for x
    x = 240,466,659,876/225,513
  6. Step 6: Final answer
    x = 1,066,309.52

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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.