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Finding the Third Proportional to 212,118 and 468,396

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Solution

The third proportional to 212,118 and 468,396 is: 1,034,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,118 : 468,396 = 468,396 : x
  2. Step 2: Convert to fraction form
    212,118/468,396 = 468,396/x
  3. Step 3: Cross multiply
    212,118x = 468,396 × 468,396
  4. Step 4: Simplify right side
    212,118x = 219,394,812,816
  5. Step 5: Solve for x
    x = 219,394,812,816/212,118
  6. Step 6: Final answer
    x = 1,034,305.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.