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Finding the Third Proportional to 237,574 and 504,299

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Solution

The third proportional to 237,574 and 504,299 is: 1,070,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,574 : 504,299 = 504,299 : x
  2. Step 2: Convert to fraction form
    237,574/504,299 = 504,299/x
  3. Step 3: Cross multiply
    237,574x = 504,299 × 504,299
  4. Step 4: Simplify right side
    237,574x = 254,317,481,401
  5. Step 5: Solve for x
    x = 254,317,481,401/237,574
  6. Step 6: Final answer
    x = 1,070,476.91

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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.