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Finding the Third Proportional to 280,158 and 599,682

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Solution

The third proportional to 280,158 and 599,682 is: 1,283,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,158 : 599,682 = 599,682 : x
  2. Step 2: Convert to fraction form
    280,158/599,682 = 599,682/x
  3. Step 3: Cross multiply
    280,158x = 599,682 × 599,682
  4. Step 4: Simplify right side
    280,158x = 359,618,501,124
  5. Step 5: Solve for x
    x = 359,618,501,124/280,158
  6. Step 6: Final answer
    x = 1,283,627.46

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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.