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Finding the Third Proportional to 576,765.56 and 1,242,279

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Solution

The third proportional to 576,765.56 and 1,242,279 is: 2,675,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,765.56 : 1,242,279 = 1,242,279 : x
  2. Step 2: Convert to fraction form
    576,765.56/1,242,279 = 1,242,279/x
  3. Step 3: Cross multiply
    576,765.56x = 1,242,279 × 1,242,279
  4. Step 4: Simplify right side
    576,765.56x = 1,543,257,113,841
  5. Step 5: Solve for x
    x = 1,543,257,113,841/576,765.56
  6. Step 6: Final answer
    x = 2,675,709.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.