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Finding the Third Proportional to 253,386.50 and 550,876

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Solution

The third proportional to 253,386.50 and 550,876 is: 1,197,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,386.50 : 550,876 = 550,876 : x
  2. Step 2: Convert to fraction form
    253,386.50/550,876 = 550,876/x
  3. Step 3: Cross multiply
    253,386.50x = 550,876 × 550,876
  4. Step 4: Simplify right side
    253,386.50x = 303,464,367,376
  5. Step 5: Solve for x
    x = 303,464,367,376/253,386.50
  6. Step 6: Final answer
    x = 1,197,634.32

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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.