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Finding the Third Proportional to 203,470 and 441,967

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Solution

The third proportional to 203,470 and 441,967 is: 960,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,470 : 441,967 = 441,967 : x
  2. Step 2: Convert to fraction form
    203,470/441,967 = 441,967/x
  3. Step 3: Cross multiply
    203,470x = 441,967 × 441,967
  4. Step 4: Simplify right side
    203,470x = 195,334,829,089
  5. Step 5: Solve for x
    x = 195,334,829,089/203,470
  6. Step 6: Final answer
    x = 960,017.84

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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.