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Finding the Third Proportional to 179,724 and 394,584

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Solution

The third proportional to 179,724 and 394,584 is: 866,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,724 : 394,584 = 394,584 : x
  2. Step 2: Convert to fraction form
    179,724/394,584 = 394,584/x
  3. Step 3: Cross multiply
    179,724x = 394,584 × 394,584
  4. Step 4: Simplify right side
    179,724x = 155,696,533,056
  5. Step 5: Solve for x
    x = 155,696,533,056/179,724
  6. Step 6: Final answer
    x = 866,309.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.