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Finding the Third Proportional to 270,828 and 594,168

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Solution

The third proportional to 270,828 and 594,168 is: 1,303,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,828 : 594,168 = 594,168 : x
  2. Step 2: Convert to fraction form
    270,828/594,168 = 594,168/x
  3. Step 3: Cross multiply
    270,828x = 594,168 × 594,168
  4. Step 4: Simplify right side
    270,828x = 353,035,612,224
  5. Step 5: Solve for x
    x = 353,035,612,224/270,828
  6. Step 6: Final answer
    x = 1,303,541.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.