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Finding the Third Proportional to 253,424 and 548,674

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Solution

The third proportional to 253,424 and 548,674 is: 1,187,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,424 : 548,674 = 548,674 : x
  2. Step 2: Convert to fraction form
    253,424/548,674 = 548,674/x
  3. Step 3: Cross multiply
    253,424x = 548,674 × 548,674
  4. Step 4: Simplify right side
    253,424x = 301,043,158,276
  5. Step 5: Solve for x
    x = 301,043,158,276/253,424
  6. Step 6: Final answer
    x = 1,187,903.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.