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Finding the Third Proportional to 212,243 and 462,394

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Solution

The third proportional to 212,243 and 462,394 is: 1,007,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,243 : 462,394 = 462,394 : x
  2. Step 2: Convert to fraction form
    212,243/462,394 = 462,394/x
  3. Step 3: Cross multiply
    212,243x = 462,394 × 462,394
  4. Step 4: Simplify right side
    212,243x = 213,808,211,236
  5. Step 5: Solve for x
    x = 213,808,211,236/212,243
  6. Step 6: Final answer
    x = 1,007,374.62

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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.