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Finding the Third Proportional to 196,416 and 427,832

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Solution

The third proportional to 196,416 and 427,832 is: 931,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,416 : 427,832 = 427,832 : x
  2. Step 2: Convert to fraction form
    196,416/427,832 = 427,832/x
  3. Step 3: Cross multiply
    196,416x = 427,832 × 427,832
  4. Step 4: Simplify right side
    196,416x = 183,040,220,224
  5. Step 5: Solve for x
    x = 183,040,220,224/196,416
  6. Step 6: Final answer
    x = 931,900.76

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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.