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Finding the Third Proportional to 199,412 and 433,814

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Solution

The third proportional to 199,412 and 433,814 is: 943,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,412 : 433,814 = 433,814 : x
  2. Step 2: Convert to fraction form
    199,412/433,814 = 433,814/x
  3. Step 3: Cross multiply
    199,412x = 433,814 × 433,814
  4. Step 4: Simplify right side
    199,412x = 188,194,586,596
  5. Step 5: Solve for x
    x = 188,194,586,596/199,412
  6. Step 6: Final answer
    x = 943,747.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.