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Finding the Third Proportional to 211,041 and 462,103.50

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Solution

The third proportional to 211,041 and 462,103.50 is: 1,011,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,041 : 462,103.50 = 462,103.50 : x
  2. Step 2: Convert to fraction form
    211,041/462,103.50 = 462,103.50/x
  3. Step 3: Cross multiply
    211,041x = 462,103.50 × 462,103.50
  4. Step 4: Simplify right side
    211,041x = 213,539,644,712.25
  5. Step 5: Solve for x
    x = 213,539,644,712.25/211,041
  6. Step 6: Final answer
    x = 1,011,839.62

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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.