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Finding the Third Proportional to 270,674 and 595,348

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Solution

The third proportional to 270,674 and 595,348 is: 1,309,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,674 : 595,348 = 595,348 : x
  2. Step 2: Convert to fraction form
    270,674/595,348 = 595,348/x
  3. Step 3: Cross multiply
    270,674x = 595,348 × 595,348
  4. Step 4: Simplify right side
    270,674x = 354,439,241,104
  5. Step 5: Solve for x
    x = 354,439,241,104/270,674
  6. Step 6: Final answer
    x = 1,309,469.11

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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.