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Finding the Third Proportional to 237,981 and 519,372

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Solution

The third proportional to 237,981 and 519,372 is: 1,133,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,981 : 519,372 = 519,372 : x
  2. Step 2: Convert to fraction form
    237,981/519,372 = 519,372/x
  3. Step 3: Cross multiply
    237,981x = 519,372 × 519,372
  4. Step 4: Simplify right side
    237,981x = 269,747,274,384
  5. Step 5: Solve for x
    x = 269,747,274,384/237,981
  6. Step 6: Final answer
    x = 1,133,482.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.