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Finding the Third Proportional to 211,034.25 and 462,090.94

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Solution

The third proportional to 211,034.25 and 462,090.94 is: 1,011,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,034.25 : 462,090.94 = 462,090.94 : x
  2. Step 2: Convert to fraction form
    211,034.25/462,090.94 = 462,090.94/x
  3. Step 3: Cross multiply
    211,034.25x = 462,090.94 × 462,090.94
  4. Step 4: Simplify right side
    211,034.25x = 213,528,034,519.63
  5. Step 5: Solve for x
    x = 213,528,034,519.63/211,034.25
  6. Step 6: Final answer
    x = 1,011,816.97

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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.