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Finding the Third Proportional to 211,542 and 464,940

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Solution

The third proportional to 211,542 and 464,940 is: 1,021,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,542 : 464,940 = 464,940 : x
  2. Step 2: Convert to fraction form
    211,542/464,940 = 464,940/x
  3. Step 3: Cross multiply
    211,542x = 464,940 × 464,940
  4. Step 4: Simplify right side
    211,542x = 216,169,203,600
  5. Step 5: Solve for x
    x = 216,169,203,600/211,542
  6. Step 6: Final answer
    x = 1,021,873.69

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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.