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Finding the Third Proportional to 247,660.50 and 382,653

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Solution

The third proportional to 247,660.50 and 382,653 is: 591,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,660.50 : 382,653 = 382,653 : x
  2. Step 2: Convert to fraction form
    247,660.50/382,653 = 382,653/x
  3. Step 3: Cross multiply
    247,660.50x = 382,653 × 382,653
  4. Step 4: Simplify right side
    247,660.50x = 146,423,318,409
  5. Step 5: Solve for x
    x = 146,423,318,409/247,660.50
  6. Step 6: Final answer
    x = 591,225.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.