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Finding the Third Proportional to 270,972 and 595,572.75

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Solution

The third proportional to 270,972 and 595,572.75 is: 1,309,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,972 : 595,572.75 = 595,572.75 : x
  2. Step 2: Convert to fraction form
    270,972/595,572.75 = 595,572.75/x
  3. Step 3: Cross multiply
    270,972x = 595,572.75 × 595,572.75
  4. Step 4: Simplify right side
    270,972x = 354,706,900,542.56
  5. Step 5: Solve for x
    x = 354,706,900,542.56/270,972
  6. Step 6: Final answer
    x = 1,309,016.80

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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.