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Finding the Third Proportional to 237,479 and 504,103

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Solution

The third proportional to 237,479 and 504,103 is: 1,070,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,479 : 504,103 = 504,103 : x
  2. Step 2: Convert to fraction form
    237,479/504,103 = 504,103/x
  3. Step 3: Cross multiply
    237,479x = 504,103 × 504,103
  4. Step 4: Simplify right side
    237,479x = 254,119,834,609
  5. Step 5: Solve for x
    x = 254,119,834,609/237,479
  6. Step 6: Final answer
    x = 1,070,072.87

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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.