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Finding the Third Proportional to 321,934.50 and 437,229

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Solution

The third proportional to 321,934.50 and 437,229 is: 593,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,934.50 : 437,229 = 437,229 : x
  2. Step 2: Convert to fraction form
    321,934.50/437,229 = 437,229/x
  3. Step 3: Cross multiply
    321,934.50x = 437,229 × 437,229
  4. Step 4: Simplify right side
    321,934.50x = 191,169,198,441
  5. Step 5: Solve for x
    x = 191,169,198,441/321,934.50
  6. Step 6: Final answer
    x = 593,813.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.