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Finding the Third Proportional to 245,320 and 543,676

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Solution

The third proportional to 245,320 and 543,676 is: 1,204,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,320 : 543,676 = 543,676 : x
  2. Step 2: Convert to fraction form
    245,320/543,676 = 543,676/x
  3. Step 3: Cross multiply
    245,320x = 543,676 × 543,676
  4. Step 4: Simplify right side
    245,320x = 295,583,592,976
  5. Step 5: Solve for x
    x = 295,583,592,976/245,320
  6. Step 6: Final answer
    x = 1,204,889.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.