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Finding the Third Proportional to 237,177 and 518,598

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Solution

The third proportional to 237,177 and 518,598 is: 1,133,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,177 : 518,598 = 518,598 : x
  2. Step 2: Convert to fraction form
    237,177/518,598 = 518,598/x
  3. Step 3: Cross multiply
    237,177x = 518,598 × 518,598
  4. Step 4: Simplify right side
    237,177x = 268,943,885,604
  5. Step 5: Solve for x
    x = 268,943,885,604/237,177
  6. Step 6: Final answer
    x = 1,133,937.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.