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Finding the Third Proportional to 550,990 and 851,419

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Solution

The third proportional to 550,990 and 851,419 is: 1,315,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,990 : 851,419 = 851,419 : x
  2. Step 2: Convert to fraction form
    550,990/851,419 = 851,419/x
  3. Step 3: Cross multiply
    550,990x = 851,419 × 851,419
  4. Step 4: Simplify right side
    550,990x = 724,914,313,561
  5. Step 5: Solve for x
    x = 724,914,313,561/550,990
  6. Step 6: Final answer
    x = 1,315,657.84

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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.