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Finding the Third Proportional to 237,908 and 561,415

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Solution

The third proportional to 237,908 and 561,415 is: 1,324,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,908 : 561,415 = 561,415 : x
  2. Step 2: Convert to fraction form
    237,908/561,415 = 561,415/x
  3. Step 3: Cross multiply
    237,908x = 561,415 × 561,415
  4. Step 4: Simplify right side
    237,908x = 315,186,802,225
  5. Step 5: Solve for x
    x = 315,186,802,225/237,908
  6. Step 6: Final answer
    x = 1,324,826.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.