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Finding the Third Proportional to 274,233 and 418,639.50

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Solution

The third proportional to 274,233 and 418,639.50 is: 639,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,233 : 418,639.50 = 418,639.50 : x
  2. Step 2: Convert to fraction form
    274,233/418,639.50 = 418,639.50/x
  3. Step 3: Cross multiply
    274,233x = 418,639.50 × 418,639.50
  4. Step 4: Simplify right side
    274,233x = 175,259,030,960.25
  5. Step 5: Solve for x
    x = 175,259,030,960.25/274,233
  6. Step 6: Final answer
    x = 639,088.04

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.