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Finding the Third Proportional to 397,234.13 and 860,544

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Solution

The third proportional to 397,234.13 and 860,544 is: 1,864,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,234.13 : 860,544 = 860,544 : x
  2. Step 2: Convert to fraction form
    397,234.13/860,544 = 860,544/x
  3. Step 3: Cross multiply
    397,234.13x = 860,544 × 860,544
  4. Step 4: Simplify right side
    397,234.13x = 740,535,975,936
  5. Step 5: Solve for x
    x = 740,535,975,936/397,234.13
  6. Step 6: Final answer
    x = 1,864,230.51

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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.