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Finding the Third Proportional to 224,416 and 327,943

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Solution

The third proportional to 224,416 and 327,943 is: 479,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,416 : 327,943 = 327,943 : x
  2. Step 2: Convert to fraction form
    224,416/327,943 = 327,943/x
  3. Step 3: Cross multiply
    224,416x = 327,943 × 327,943
  4. Step 4: Simplify right side
    224,416x = 107,546,611,249
  5. Step 5: Solve for x
    x = 107,546,611,249/224,416
  6. Step 6: Final answer
    x = 479,228.80

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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.