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Finding the Third Proportional to 237,477 and 504,101

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Solution

The third proportional to 237,477 and 504,101 is: 1,070,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,477 : 504,101 = 504,101 : x
  2. Step 2: Convert to fraction form
    237,477/504,101 = 504,101/x
  3. Step 3: Cross multiply
    237,477x = 504,101 × 504,101
  4. Step 4: Simplify right side
    237,477x = 254,117,818,201
  5. Step 5: Solve for x
    x = 254,117,818,201/237,477
  6. Step 6: Final answer
    x = 1,070,073.39

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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.