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Finding the Third Proportional to 212,689 and 467,308

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Solution

The third proportional to 212,689 and 467,308 is: 1,026,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,689 : 467,308 = 467,308 : x
  2. Step 2: Convert to fraction form
    212,689/467,308 = 467,308/x
  3. Step 3: Cross multiply
    212,689x = 467,308 × 467,308
  4. Step 4: Simplify right side
    212,689x = 218,376,766,864
  5. Step 5: Solve for x
    x = 218,376,766,864/212,689
  6. Step 6: Final answer
    x = 1,026,742.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.