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Finding the Third Proportional to 224,209 and 327,690

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Solution

The third proportional to 224,209 and 327,690 is: 478,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,209 : 327,690 = 327,690 : x
  2. Step 2: Convert to fraction form
    224,209/327,690 = 327,690/x
  3. Step 3: Cross multiply
    224,209x = 327,690 × 327,690
  4. Step 4: Simplify right side
    224,209x = 107,380,736,100
  5. Step 5: Solve for x
    x = 107,380,736,100/224,209
  6. Step 6: Final answer
    x = 478,931.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.