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Finding the Third Proportional to 253,299 and 548,763

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Solution

The third proportional to 253,299 and 548,763 is: 1,188,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,299 : 548,763 = 548,763 : x
  2. Step 2: Convert to fraction form
    253,299/548,763 = 548,763/x
  3. Step 3: Cross multiply
    253,299x = 548,763 × 548,763
  4. Step 4: Simplify right side
    253,299x = 301,140,830,169
  5. Step 5: Solve for x
    x = 301,140,830,169/253,299
  6. Step 6: Final answer
    x = 1,188,874.93

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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.