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Finding the Third Proportional to 396,063.50 and 841,211

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Solution

The third proportional to 396,063.50 and 841,211 is: 1,786,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,063.50 : 841,211 = 841,211 : x
  2. Step 2: Convert to fraction form
    396,063.50/841,211 = 841,211/x
  3. Step 3: Cross multiply
    396,063.50x = 841,211 × 841,211
  4. Step 4: Simplify right side
    396,063.50x = 707,635,946,521
  5. Step 5: Solve for x
    x = 707,635,946,521/396,063.50
  6. Step 6: Final answer
    x = 1,786,672.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.