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Finding the Third Proportional to 252,593 and 557,886

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Solution

The third proportional to 252,593 and 557,886 is: 1,232,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,593 : 557,886 = 557,886 : x
  2. Step 2: Convert to fraction form
    252,593/557,886 = 557,886/x
  3. Step 3: Cross multiply
    252,593x = 557,886 × 557,886
  4. Step 4: Simplify right side
    252,593x = 311,236,788,996
  5. Step 5: Solve for x
    x = 311,236,788,996/252,593
  6. Step 6: Final answer
    x = 1,232,167.12

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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.