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Finding the Third Proportional to 283,804 and 610,660

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Solution

The third proportional to 283,804 and 610,660 is: 1,313,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,804 : 610,660 = 610,660 : x
  2. Step 2: Convert to fraction form
    283,804/610,660 = 610,660/x
  3. Step 3: Cross multiply
    283,804x = 610,660 × 610,660
  4. Step 4: Simplify right side
    283,804x = 372,905,635,600
  5. Step 5: Solve for x
    x = 372,905,635,600/283,804
  6. Step 6: Final answer
    x = 1,313,954.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.