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Finding the Third Proportional to 270,676 and 595,352

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Solution

The third proportional to 270,676 and 595,352 is: 1,309,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,676 : 595,352 = 595,352 : x
  2. Step 2: Convert to fraction form
    270,676/595,352 = 595,352/x
  3. Step 3: Cross multiply
    270,676x = 595,352 × 595,352
  4. Step 4: Simplify right side
    270,676x = 354,444,003,904
  5. Step 5: Solve for x
    x = 354,444,003,904/270,676
  6. Step 6: Final answer
    x = 1,309,477.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.