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Finding the Third Proportional to 228,984 and 336,624

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Solution

The third proportional to 228,984 and 336,624 is: 494,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,984 : 336,624 = 336,624 : x
  2. Step 2: Convert to fraction form
    228,984/336,624 = 336,624/x
  3. Step 3: Cross multiply
    228,984x = 336,624 × 336,624
  4. Step 4: Simplify right side
    228,984x = 113,315,717,376
  5. Step 5: Solve for x
    x = 113,315,717,376/228,984
  6. Step 6: Final answer
    x = 494,863.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.