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Finding the Third Proportional to 253,512 and 538,119

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Solution

The third proportional to 253,512 and 538,119 is: 1,142,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,512 : 538,119 = 538,119 : x
  2. Step 2: Convert to fraction form
    253,512/538,119 = 538,119/x
  3. Step 3: Cross multiply
    253,512x = 538,119 × 538,119
  4. Step 4: Simplify right side
    253,512x = 289,572,058,161
  5. Step 5: Solve for x
    x = 289,572,058,161/253,512
  6. Step 6: Final answer
    x = 1,142,242.02

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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.