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Finding the Third Proportional to 198,072 and 423,792

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Solution

The third proportional to 198,072 and 423,792 is: 906,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,072 : 423,792 = 423,792 : x
  2. Step 2: Convert to fraction form
    198,072/423,792 = 423,792/x
  3. Step 3: Cross multiply
    198,072x = 423,792 × 423,792
  4. Step 4: Simplify right side
    198,072x = 179,599,659,264
  5. Step 5: Solve for x
    x = 179,599,659,264/198,072
  6. Step 6: Final answer
    x = 906,739.26

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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.