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Finding the Third Proportional to 535,404 and 860,994

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Solution

The third proportional to 535,404 and 860,994 is: 1,384,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,404 : 860,994 = 860,994 : x
  2. Step 2: Convert to fraction form
    535,404/860,994 = 860,994/x
  3. Step 3: Cross multiply
    535,404x = 860,994 × 860,994
  4. Step 4: Simplify right side
    535,404x = 741,310,668,036
  5. Step 5: Solve for x
    x = 741,310,668,036/535,404
  6. Step 6: Final answer
    x = 1,384,581.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.