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Finding the Third Proportional to 236,682 and 440,680.50

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Solution

The third proportional to 236,682 and 440,680.50 is: 820,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,682 : 440,680.50 = 440,680.50 : x
  2. Step 2: Convert to fraction form
    236,682/440,680.50 = 440,680.50/x
  3. Step 3: Cross multiply
    236,682x = 440,680.50 × 440,680.50
  4. Step 4: Simplify right side
    236,682x = 194,199,303,080.25
  5. Step 5: Solve for x
    x = 194,199,303,080.25/236,682
  6. Step 6: Final answer
    x = 820,507.28

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.