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Finding the Third Proportional to 397,331 and 860,668

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Solution

The third proportional to 397,331 and 860,668 is: 1,864,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,331 : 860,668 = 860,668 : x
  2. Step 2: Convert to fraction form
    397,331/860,668 = 860,668/x
  3. Step 3: Cross multiply
    397,331x = 860,668 × 860,668
  4. Step 4: Simplify right side
    397,331x = 740,749,406,224
  5. Step 5: Solve for x
    x = 740,749,406,224/397,331
  6. Step 6: Final answer
    x = 1,864,313.15

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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.