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Finding the Third Proportional to 283,804 and 606,168

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Solution

The third proportional to 283,804 and 606,168 is: 1,294,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,804 : 606,168 = 606,168 : x
  2. Step 2: Convert to fraction form
    283,804/606,168 = 606,168/x
  3. Step 3: Cross multiply
    283,804x = 606,168 × 606,168
  4. Step 4: Simplify right side
    283,804x = 367,439,644,224
  5. Step 5: Solve for x
    x = 367,439,644,224/283,804
  6. Step 6: Final answer
    x = 1,294,695.09

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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.