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Finding the Third Proportional to 203,490 and 441,999

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Solution

The third proportional to 203,490 and 441,999 is: 960,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,490 : 441,999 = 441,999 : x
  2. Step 2: Convert to fraction form
    203,490/441,999 = 441,999/x
  3. Step 3: Cross multiply
    203,490x = 441,999 × 441,999
  4. Step 4: Simplify right side
    203,490x = 195,363,116,001
  5. Step 5: Solve for x
    x = 195,363,116,001/203,490
  6. Step 6: Final answer
    x = 960,062.49

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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.