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Finding the Third Proportional to 212,493.38 and 462,371.63

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Solution

The third proportional to 212,493.38 and 462,371.63 is: 1,006,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,493.38 : 462,371.63 = 462,371.63 : x
  2. Step 2: Convert to fraction form
    212,493.38/462,371.63 = 462,371.63/x
  3. Step 3: Cross multiply
    212,493.38x = 462,371.63 × 462,371.63
  4. Step 4: Simplify right side
    212,493.38x = 213,787,519,605.14
  5. Step 5: Solve for x
    x = 213,787,519,605.14/212,493.38
  6. Step 6: Final answer
    x = 1,006,090.28

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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.