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Finding the Third Proportional to 204,984 and 440,598

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Solution

The third proportional to 204,984 and 440,598 is: 947,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,984 : 440,598 = 440,598 : x
  2. Step 2: Convert to fraction form
    204,984/440,598 = 440,598/x
  3. Step 3: Cross multiply
    204,984x = 440,598 × 440,598
  4. Step 4: Simplify right side
    204,984x = 194,126,597,604
  5. Step 5: Solve for x
    x = 194,126,597,604/204,984
  6. Step 6: Final answer
    x = 947,032.93

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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.