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Finding the Third Proportional to 383,256 and 588,276

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Solution

The third proportional to 383,256 and 588,276 is: 902,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,256 : 588,276 = 588,276 : x
  2. Step 2: Convert to fraction form
    383,256/588,276 = 588,276/x
  3. Step 3: Cross multiply
    383,256x = 588,276 × 588,276
  4. Step 4: Simplify right side
    383,256x = 346,068,652,176
  5. Step 5: Solve for x
    x = 346,068,652,176/383,256
  6. Step 6: Final answer
    x = 902,969.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.