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Finding the Third Proportional to 193,574 and 416,824

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Solution

The third proportional to 193,574 and 416,824 is: 897,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,574 : 416,824 = 416,824 : x
  2. Step 2: Convert to fraction form
    193,574/416,824 = 416,824/x
  3. Step 3: Cross multiply
    193,574x = 416,824 × 416,824
  4. Step 4: Simplify right side
    193,574x = 173,742,246,976
  5. Step 5: Solve for x
    x = 173,742,246,976/193,574
  6. Step 6: Final answer
    x = 897,549.50

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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.