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Finding the Third Proportional to 397,234.13 and 860,463

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Solution

The third proportional to 397,234.13 and 860,463 is: 1,863,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,234.13 : 860,463 = 860,463 : x
  2. Step 2: Convert to fraction form
    397,234.13/860,463 = 860,463/x
  3. Step 3: Cross multiply
    397,234.13x = 860,463 × 860,463
  4. Step 4: Simplify right side
    397,234.13x = 740,396,574,369
  5. Step 5: Solve for x
    x = 740,396,574,369/397,234.13
  6. Step 6: Final answer
    x = 1,863,879.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.