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Finding the Third Proportional to 211,425.19 and 443,609.16

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Solution

The third proportional to 211,425.19 and 443,609.16 is: 930,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,425.19 : 443,609.16 = 443,609.16 : x
  2. Step 2: Convert to fraction form
    211,425.19/443,609.16 = 443,609.16/x
  3. Step 3: Cross multiply
    211,425.19x = 443,609.16 × 443,609.16
  4. Step 4: Simplify right side
    211,425.19x = 196,789,083,508.84
  5. Step 5: Solve for x
    x = 196,789,083,508.84/211,425.19
  6. Step 6: Final answer
    x = 930,774.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.