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Finding the Third Proportional to 251,324 and 547,809

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Solution

The third proportional to 251,324 and 547,809 is: 1,194,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,324 : 547,809 = 547,809 : x
  2. Step 2: Convert to fraction form
    251,324/547,809 = 547,809/x
  3. Step 3: Cross multiply
    251,324x = 547,809 × 547,809
  4. Step 4: Simplify right side
    251,324x = 300,094,700,481
  5. Step 5: Solve for x
    x = 300,094,700,481/251,324
  6. Step 6: Final answer
    x = 1,194,055.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.