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Finding the Third Proportional to 199,906 and 471,909

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Solution

The third proportional to 199,906 and 471,909 is: 1,114,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,906 : 471,909 = 471,909 : x
  2. Step 2: Convert to fraction form
    199,906/471,909 = 471,909/x
  3. Step 3: Cross multiply
    199,906x = 471,909 × 471,909
  4. Step 4: Simplify right side
    199,906x = 222,698,104,281
  5. Step 5: Solve for x
    x = 222,698,104,281/199,906
  6. Step 6: Final answer
    x = 1,114,014.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.