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Finding the Third Proportional to 199,558 and 426,788

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Solution

The third proportional to 199,558 and 426,788 is: 912,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,558 : 426,788 = 426,788 : x
  2. Step 2: Convert to fraction form
    199,558/426,788 = 426,788/x
  3. Step 3: Cross multiply
    199,558x = 426,788 × 426,788
  4. Step 4: Simplify right side
    199,558x = 182,147,996,944
  5. Step 5: Solve for x
    x = 182,147,996,944/199,558
  6. Step 6: Final answer
    x = 912,757.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.