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Finding the Third Proportional to 212,687 and 467,304

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Solution

The third proportional to 212,687 and 467,304 is: 1,026,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,687 : 467,304 = 467,304 : x
  2. Step 2: Convert to fraction form
    212,687/467,304 = 467,304/x
  3. Step 3: Cross multiply
    212,687x = 467,304 × 467,304
  4. Step 4: Simplify right side
    212,687x = 218,373,028,416
  5. Step 5: Solve for x
    x = 218,373,028,416/212,687
  6. Step 6: Final answer
    x = 1,026,734.25

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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.