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Finding the Third Proportional to 212,604 and 462,573

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Solution

The third proportional to 212,604 and 462,573 is: 1,006,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,604 : 462,573 = 462,573 : x
  2. Step 2: Convert to fraction form
    212,604/462,573 = 462,573/x
  3. Step 3: Cross multiply
    212,604x = 462,573 × 462,573
  4. Step 4: Simplify right side
    212,604x = 213,973,780,329
  5. Step 5: Solve for x
    x = 213,973,780,329/212,604
  6. Step 6: Final answer
    x = 1,006,442.87

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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.