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Finding the Third Proportional to 199,454 and 426,932

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Solution

The third proportional to 199,454 and 426,932 is: 913,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,454 : 426,932 = 426,932 : x
  2. Step 2: Convert to fraction form
    199,454/426,932 = 426,932/x
  3. Step 3: Cross multiply
    199,454x = 426,932 × 426,932
  4. Step 4: Simplify right side
    199,454x = 182,270,932,624
  5. Step 5: Solve for x
    x = 182,270,932,624/199,454
  6. Step 6: Final answer
    x = 913,849.47

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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.