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Finding the Third Proportional to 237,182 and 513,728

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Solution

The third proportional to 237,182 and 513,728 is: 1,112,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,182 : 513,728 = 513,728 : x
  2. Step 2: Convert to fraction form
    237,182/513,728 = 513,728/x
  3. Step 3: Cross multiply
    237,182x = 513,728 × 513,728
  4. Step 4: Simplify right side
    237,182x = 263,916,457,984
  5. Step 5: Solve for x
    x = 263,916,457,984/237,182
  6. Step 6: Final answer
    x = 1,112,717.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.