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Finding the Third Proportional to 215,415 and 452,874

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Solution

The third proportional to 215,415 and 452,874 is: 952,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,415 : 452,874 = 452,874 : x
  2. Step 2: Convert to fraction form
    215,415/452,874 = 452,874/x
  3. Step 3: Cross multiply
    215,415x = 452,874 × 452,874
  4. Step 4: Simplify right side
    215,415x = 205,094,859,876
  5. Step 5: Solve for x
    x = 205,094,859,876/215,415
  6. Step 6: Final answer
    x = 952,091.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.