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Finding the Third Proportional to 299,432 and 476,194

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Solution

The third proportional to 299,432 and 476,194 is: 757,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432 : 476,194 = 476,194 : x
  2. Step 2: Convert to fraction form
    299,432/476,194 = 476,194/x
  3. Step 3: Cross multiply
    299,432x = 476,194 × 476,194
  4. Step 4: Simplify right side
    299,432x = 226,760,725,636
  5. Step 5: Solve for x
    x = 226,760,725,636/299,432
  6. Step 6: Final answer
    x = 757,302.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.