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Finding the Third Proportional to 203,492 and 441,998

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Solution

The third proportional to 203,492 and 441,998 is: 960,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,492 : 441,998 = 441,998 : x
  2. Step 2: Convert to fraction form
    203,492/441,998 = 441,998/x
  3. Step 3: Cross multiply
    203,492x = 441,998 × 441,998
  4. Step 4: Simplify right side
    203,492x = 195,362,232,004
  5. Step 5: Solve for x
    x = 195,362,232,004/203,492
  6. Step 6: Final answer
    x = 960,048.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.