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Finding the Third Proportional to 396,042.75 and 841,170

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Solution

The third proportional to 396,042.75 and 841,170 is: 1,786,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,042.75 : 841,170 = 841,170 : x
  2. Step 2: Convert to fraction form
    396,042.75/841,170 = 841,170/x
  3. Step 3: Cross multiply
    396,042.75x = 841,170 × 841,170
  4. Step 4: Simplify right side
    396,042.75x = 707,566,968,900
  5. Step 5: Solve for x
    x = 707,566,968,900/396,042.75
  6. Step 6: Final answer
    x = 1,786,592.40

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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.