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Finding the Third Proportional to 253,090.50 and 550,467

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Solution

The third proportional to 253,090.50 and 550,467 is: 1,197,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,090.50 : 550,467 = 550,467 : x
  2. Step 2: Convert to fraction form
    253,090.50/550,467 = 550,467/x
  3. Step 3: Cross multiply
    253,090.50x = 550,467 × 550,467
  4. Step 4: Simplify right side
    253,090.50x = 303,013,918,089
  5. Step 5: Solve for x
    x = 303,013,918,089/253,090.50
  6. Step 6: Final answer
    x = 1,197,255.20

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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.