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Finding the Third Proportional to 233,850.38 and 376,592.63

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Solution

The third proportional to 233,850.38 and 376,592.63 is: 606,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,850.38 : 376,592.63 = 376,592.63 : x
  2. Step 2: Convert to fraction form
    233,850.38/376,592.63 = 376,592.63/x
  3. Step 3: Cross multiply
    233,850.38x = 376,592.63 × 376,592.63
  4. Step 4: Simplify right side
    233,850.38x = 141,822,005,204.39
  5. Step 5: Solve for x
    x = 141,822,005,204.39/233,850.38
  6. Step 6: Final answer
    x = 606,464.73

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.