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Finding the Third Proportional to 270,676.69 and 586,009.69

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Solution

The third proportional to 270,676.69 and 586,009.69 is: 1,268,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,676.69 : 586,009.69 = 586,009.69 : x
  2. Step 2: Convert to fraction form
    270,676.69/586,009.69 = 586,009.69/x
  3. Step 3: Cross multiply
    270,676.69x = 586,009.69 × 586,009.69
  4. Step 4: Simplify right side
    270,676.69x = 343,407,353,843.85
  5. Step 5: Solve for x
    x = 343,407,353,843.85/270,676.69
  6. Step 6: Final answer
    x = 1,268,699.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.