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Finding the Third Proportional to 212,042 and 461,479

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Solution

The third proportional to 212,042 and 461,479 is: 1,004,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,042 : 461,479 = 461,479 : x
  2. Step 2: Convert to fraction form
    212,042/461,479 = 461,479/x
  3. Step 3: Cross multiply
    212,042x = 461,479 × 461,479
  4. Step 4: Simplify right side
    212,042x = 212,962,867,441
  5. Step 5: Solve for x
    x = 212,962,867,441/212,042
  6. Step 6: Final answer
    x = 1,004,342.85

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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.