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Finding the Third Proportional to 200,614 and 437,215

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Solution

The third proportional to 200,614 and 437,215 is: 952,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,614 : 437,215 = 437,215 : x
  2. Step 2: Convert to fraction form
    200,614/437,215 = 437,215/x
  3. Step 3: Cross multiply
    200,614x = 437,215 × 437,215
  4. Step 4: Simplify right side
    200,614x = 191,156,956,225
  5. Step 5: Solve for x
    x = 191,156,956,225/200,614
  6. Step 6: Final answer
    x = 952,859.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.