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Finding the Third Proportional to 275,618 and 568,948

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Solution

The third proportional to 275,618 and 568,948 is: 1,174,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,618 : 568,948 = 568,948 : x
  2. Step 2: Convert to fraction form
    275,618/568,948 = 568,948/x
  3. Step 3: Cross multiply
    275,618x = 568,948 × 568,948
  4. Step 4: Simplify right side
    275,618x = 323,701,826,704
  5. Step 5: Solve for x
    x = 323,701,826,704/275,618
  6. Step 6: Final answer
    x = 1,174,458.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.