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Finding the Third Proportional to 282,636 and 614,351.25

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Solution

The third proportional to 282,636 and 614,351.25 is: 1,335,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,636 : 614,351.25 = 614,351.25 : x
  2. Step 2: Convert to fraction form
    282,636/614,351.25 = 614,351.25/x
  3. Step 3: Cross multiply
    282,636x = 614,351.25 × 614,351.25
  4. Step 4: Simplify right side
    282,636x = 377,427,458,376.56
  5. Step 5: Solve for x
    x = 377,427,458,376.56/282,636
  6. Step 6: Final answer
    x = 1,335,383.53

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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.