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Finding the Third Proportional to 215,586 and 468,476

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Solution

The third proportional to 215,586 and 468,476 is: 1,018,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,586 : 468,476 = 468,476 : x
  2. Step 2: Convert to fraction form
    215,586/468,476 = 468,476/x
  3. Step 3: Cross multiply
    215,586x = 468,476 × 468,476
  4. Step 4: Simplify right side
    215,586x = 219,469,762,576
  5. Step 5: Solve for x
    x = 219,469,762,576/215,586
  6. Step 6: Final answer
    x = 1,018,014.91

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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.