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Finding the Third Proportional to 211,518 and 464,892.75

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Solution

The third proportional to 211,518 and 464,892.75 is: 1,021,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,518 : 464,892.75 = 464,892.75 : x
  2. Step 2: Convert to fraction form
    211,518/464,892.75 = 464,892.75/x
  3. Step 3: Cross multiply
    211,518x = 464,892.75 × 464,892.75
  4. Step 4: Simplify right side
    211,518x = 216,125,269,002.56
  5. Step 5: Solve for x
    x = 216,125,269,002.56/211,518
  6. Step 6: Final answer
    x = 1,021,781.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.