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Finding the Third Proportional to 550,992 and 851,424

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Solution

The third proportional to 550,992 and 851,424 is: 1,315,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,992 : 851,424 = 851,424 : x
  2. Step 2: Convert to fraction form
    550,992/851,424 = 851,424/x
  3. Step 3: Cross multiply
    550,992x = 851,424 × 851,424
  4. Step 4: Simplify right side
    550,992x = 724,922,827,776
  5. Step 5: Solve for x
    x = 724,922,827,776/550,992
  6. Step 6: Final answer
    x = 1,315,668.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.