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Finding the Third Proportional to 233,397 and 475,353

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Solution

The third proportional to 233,397 and 475,353 is: 968,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,397 : 475,353 = 475,353 : x
  2. Step 2: Convert to fraction form
    233,397/475,353 = 475,353/x
  3. Step 3: Cross multiply
    233,397x = 475,353 × 475,353
  4. Step 4: Simplify right side
    233,397x = 225,960,474,609
  5. Step 5: Solve for x
    x = 225,960,474,609/233,397
  6. Step 6: Final answer
    x = 968,137.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.