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Finding the Third Proportional to 233,296 and 546,302

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Solution

The third proportional to 233,296 and 546,302 is: 1,279,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,296 : 546,302 = 546,302 : x
  2. Step 2: Convert to fraction form
    233,296/546,302 = 546,302/x
  3. Step 3: Cross multiply
    233,296x = 546,302 × 546,302
  4. Step 4: Simplify right side
    233,296x = 298,445,875,204
  5. Step 5: Solve for x
    x = 298,445,875,204/233,296
  6. Step 6: Final answer
    x = 1,279,258.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.