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Finding the Third Proportional to 252,956 and 559,471

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Solution

The third proportional to 252,956 and 559,471 is: 1,237,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,956 : 559,471 = 559,471 : x
  2. Step 2: Convert to fraction form
    252,956/559,471 = 559,471/x
  3. Step 3: Cross multiply
    252,956x = 559,471 × 559,471
  4. Step 4: Simplify right side
    252,956x = 313,007,799,841
  5. Step 5: Solve for x
    x = 313,007,799,841/252,956
  6. Step 6: Final answer
    x = 1,237,400.18

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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.