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Finding the Third Proportional to 253,066 and 379,023

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Solution

The third proportional to 253,066 and 379,023 is: 567,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,066 : 379,023 = 379,023 : x
  2. Step 2: Convert to fraction form
    253,066/379,023 = 379,023/x
  3. Step 3: Cross multiply
    253,066x = 379,023 × 379,023
  4. Step 4: Simplify right side
    253,066x = 143,658,434,529
  5. Step 5: Solve for x
    x = 143,658,434,529/253,066
  6. Step 6: Final answer
    x = 567,671.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.