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Finding the Third Proportional to 233,298 and 546,307

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Solution

The third proportional to 233,298 and 546,307 is: 1,279,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,298 : 546,307 = 546,307 : x
  2. Step 2: Convert to fraction form
    233,298/546,307 = 546,307/x
  3. Step 3: Cross multiply
    233,298x = 546,307 × 546,307
  4. Step 4: Simplify right side
    233,298x = 298,451,338,249
  5. Step 5: Solve for x
    x = 298,451,338,249/233,298
  6. Step 6: Final answer
    x = 1,279,270.88

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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.