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Finding the Third Proportional to 193,584 and 416,832

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Solution

The third proportional to 193,584 and 416,832 is: 897,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,584 : 416,832 = 416,832 : x
  2. Step 2: Convert to fraction form
    193,584/416,832 = 416,832/x
  3. Step 3: Cross multiply
    193,584x = 416,832 × 416,832
  4. Step 4: Simplify right side
    193,584x = 173,748,916,224
  5. Step 5: Solve for x
    x = 173,748,916,224/193,584
  6. Step 6: Final answer
    x = 897,537.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.