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Finding the Third Proportional to 396,576 and 838,360.13

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Solution

The third proportional to 396,576 and 838,360.13 is: 1,772,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,576 : 838,360.13 = 838,360.13 : x
  2. Step 2: Convert to fraction form
    396,576/838,360.13 = 838,360.13/x
  3. Step 3: Cross multiply
    396,576x = 838,360.13 × 838,360.13
  4. Step 4: Simplify right side
    396,576x = 702,847,699,190.02
  5. Step 5: Solve for x
    x = 702,847,699,190.02/396,576
  6. Step 6: Final answer
    x = 1,772,290.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.