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Finding the Third Proportional to 205,004 and 440,112

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Solution

The third proportional to 205,004 and 440,112 is: 944,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,004 : 440,112 = 440,112 : x
  2. Step 2: Convert to fraction form
    205,004/440,112 = 440,112/x
  3. Step 3: Cross multiply
    205,004x = 440,112 × 440,112
  4. Step 4: Simplify right side
    205,004x = 193,698,572,544
  5. Step 5: Solve for x
    x = 193,698,572,544/205,004
  6. Step 6: Final answer
    x = 944,852.65

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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.