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Finding the Third Proportional to 254,243 and 547,404

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Solution

The third proportional to 254,243 and 547,404 is: 1,178,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,243 : 547,404 = 547,404 : x
  2. Step 2: Convert to fraction form
    254,243/547,404 = 547,404/x
  3. Step 3: Cross multiply
    254,243x = 547,404 × 547,404
  4. Step 4: Simplify right side
    254,243x = 299,651,139,216
  5. Step 5: Solve for x
    x = 299,651,139,216/254,243
  6. Step 6: Final answer
    x = 1,178,601.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.