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Finding the Third Proportional to 196,686 and 430,911

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Solution

The third proportional to 196,686 and 430,911 is: 944,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,686 : 430,911 = 430,911 : x
  2. Step 2: Convert to fraction form
    196,686/430,911 = 430,911/x
  3. Step 3: Cross multiply
    196,686x = 430,911 × 430,911
  4. Step 4: Simplify right side
    196,686x = 185,684,289,921
  5. Step 5: Solve for x
    x = 185,684,289,921/196,686
  6. Step 6: Final answer
    x = 944,064.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.