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Finding the Third Proportional to 280,828 and 605,940

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Solution

The third proportional to 280,828 and 605,940 is: 1,307,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,828 : 605,940 = 605,940 : x
  2. Step 2: Convert to fraction form
    280,828/605,940 = 605,940/x
  3. Step 3: Cross multiply
    280,828x = 605,940 × 605,940
  4. Step 4: Simplify right side
    280,828x = 367,163,283,600
  5. Step 5: Solve for x
    x = 367,163,283,600/280,828
  6. Step 6: Final answer
    x = 1,307,431.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.