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Finding the Third Proportional to 280,203 and 599,772

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Solution

The third proportional to 280,203 and 599,772 is: 1,283,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,203 : 599,772 = 599,772 : x
  2. Step 2: Convert to fraction form
    280,203/599,772 = 599,772/x
  3. Step 3: Cross multiply
    280,203x = 599,772 × 599,772
  4. Step 4: Simplify right side
    280,203x = 359,726,451,984
  5. Step 5: Solve for x
    x = 359,726,451,984/280,203
  6. Step 6: Final answer
    x = 1,283,806.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.