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Finding the Third Proportional to 275,076 and 418,233.38

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Solution

The third proportional to 275,076 and 418,233.38 is: 635,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,076 : 418,233.38 = 418,233.38 : x
  2. Step 2: Convert to fraction form
    275,076/418,233.38 = 418,233.38/x
  3. Step 3: Cross multiply
    275,076x = 418,233.38 × 418,233.38
  4. Step 4: Simplify right side
    275,076x = 174,919,155,963.89
  5. Step 5: Solve for x
    x = 174,919,155,963.89/275,076
  6. Step 6: Final answer
    x = 635,893.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.