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Finding the Third Proportional to 366,124 and 547,859

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Solution

The third proportional to 366,124 and 547,859 is: 819,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,124 : 547,859 = 547,859 : x
  2. Step 2: Convert to fraction form
    366,124/547,859 = 547,859/x
  3. Step 3: Cross multiply
    366,124x = 547,859 × 547,859
  4. Step 4: Simplify right side
    366,124x = 300,149,483,881
  5. Step 5: Solve for x
    x = 300,149,483,881/366,124
  6. Step 6: Final answer
    x = 819,802.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.