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Finding the Third Proportional to 212,606 and 462,577

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Solution

The third proportional to 212,606 and 462,577 is: 1,006,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,606 : 462,577 = 462,577 : x
  2. Step 2: Convert to fraction form
    212,606/462,577 = 462,577/x
  3. Step 3: Cross multiply
    212,606x = 462,577 × 462,577
  4. Step 4: Simplify right side
    212,606x = 213,977,480,929
  5. Step 5: Solve for x
    x = 213,977,480,929/212,606
  6. Step 6: Final answer
    x = 1,006,450.81

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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.