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Finding the Third Proportional to 355,747.50 and 839,754

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Solution

The third proportional to 355,747.50 and 839,754 is: 1,982,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,747.50 : 839,754 = 839,754 : x
  2. Step 2: Convert to fraction form
    355,747.50/839,754 = 839,754/x
  3. Step 3: Cross multiply
    355,747.50x = 839,754 × 839,754
  4. Step 4: Simplify right side
    355,747.50x = 705,186,780,516
  5. Step 5: Solve for x
    x = 705,186,780,516/355,747.50
  6. Step 6: Final answer
    x = 1,982,267.71

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.