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Finding the Third Proportional to 211,987.13 and 462,034.13

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Solution

The third proportional to 211,987.13 and 462,034.13 is: 1,007,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,987.13 : 462,034.13 = 462,034.13 : x
  2. Step 2: Convert to fraction form
    211,987.13/462,034.13 = 462,034.13/x
  3. Step 3: Cross multiply
    211,987.13x = 462,034.13 × 462,034.13
  4. Step 4: Simplify right side
    211,987.13x = 213,475,532,664.52
  5. Step 5: Solve for x
    x = 213,475,532,664.52/211,987.13
  6. Step 6: Final answer
    x = 1,007,021.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.