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Finding the Third Proportional to 205,042 and 440,740

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Solution

The third proportional to 205,042 and 440,740 is: 947,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,042 : 440,740 = 440,740 : x
  2. Step 2: Convert to fraction form
    205,042/440,740 = 440,740/x
  3. Step 3: Cross multiply
    205,042x = 440,740 × 440,740
  4. Step 4: Simplify right side
    205,042x = 194,251,747,600
  5. Step 5: Solve for x
    x = 194,251,747,600/205,042
  6. Step 6: Final answer
    x = 947,375.40

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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.