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Finding the Third Proportional to 199,494 and 426,636

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Solution

The third proportional to 199,494 and 426,636 is: 912,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,494 : 426,636 = 426,636 : x
  2. Step 2: Convert to fraction form
    199,494/426,636 = 426,636/x
  3. Step 3: Cross multiply
    199,494x = 426,636 × 426,636
  4. Step 4: Simplify right side
    199,494x = 182,018,276,496
  5. Step 5: Solve for x
    x = 182,018,276,496/199,494
  6. Step 6: Final answer
    x = 912,399.75

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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.