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Finding the Third Proportional to 218,836.69 and 476,011.69

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Solution

The third proportional to 218,836.69 and 476,011.69 is: 1,035,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,836.69 : 476,011.69 = 476,011.69 : x
  2. Step 2: Convert to fraction form
    218,836.69/476,011.69 = 476,011.69/x
  3. Step 3: Cross multiply
    218,836.69x = 476,011.69 × 476,011.69
  4. Step 4: Simplify right side
    218,836.69x = 226,587,126,636.60
  5. Step 5: Solve for x
    x = 226,587,126,636.60/218,836.69
  6. Step 6: Final answer
    x = 1,035,416.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.