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Finding the Third Proportional to 267,780.38 and 391,408.31

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Solution

The third proportional to 267,780.38 and 391,408.31 is: 572,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,780.38 : 391,408.31 = 391,408.31 : x
  2. Step 2: Convert to fraction form
    267,780.38/391,408.31 = 391,408.31/x
  3. Step 3: Cross multiply
    267,780.38x = 391,408.31 × 391,408.31
  4. Step 4: Simplify right side
    267,780.38x = 153,200,467,094.10
  5. Step 5: Solve for x
    x = 153,200,467,094.10/267,780.38
  6. Step 6: Final answer
    x = 572,112.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.