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Finding the Third Proportional to 237,473.25 and 504,093

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Solution

The third proportional to 237,473.25 and 504,093 is: 1,070,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,473.25 : 504,093 = 504,093 : x
  2. Step 2: Convert to fraction form
    237,473.25/504,093 = 504,093/x
  3. Step 3: Cross multiply
    237,473.25x = 504,093 × 504,093
  4. Step 4: Simplify right side
    237,473.25x = 254,109,752,649
  5. Step 5: Solve for x
    x = 254,109,752,649/237,473.25
  6. Step 6: Final answer
    x = 1,070,056.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.