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Finding the Third Proportional to 270,680 and 595,360

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Solution

The third proportional to 270,680 and 595,360 is: 1,309,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,680 : 595,360 = 595,360 : x
  2. Step 2: Convert to fraction form
    270,680/595,360 = 595,360/x
  3. Step 3: Cross multiply
    270,680x = 595,360 × 595,360
  4. Step 4: Simplify right side
    270,680x = 354,453,529,600
  5. Step 5: Solve for x
    x = 354,453,529,600/270,680
  6. Step 6: Final answer
    x = 1,309,492.87

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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.