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Finding the Third Proportional to 212,608 and 462,581

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Solution

The third proportional to 212,608 and 462,581 is: 1,006,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,608 : 462,581 = 462,581 : x
  2. Step 2: Convert to fraction form
    212,608/462,581 = 462,581/x
  3. Step 3: Cross multiply
    212,608x = 462,581 × 462,581
  4. Step 4: Simplify right side
    212,608x = 213,981,181,561
  5. Step 5: Solve for x
    x = 213,981,181,561/212,608
  6. Step 6: Final answer
    x = 1,006,458.75

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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.