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Finding the Third Proportional to 224,742 and 494,682

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Solution

The third proportional to 224,742 and 494,682 is: 1,088,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,742 : 494,682 = 494,682 : x
  2. Step 2: Convert to fraction form
    224,742/494,682 = 494,682/x
  3. Step 3: Cross multiply
    224,742x = 494,682 × 494,682
  4. Step 4: Simplify right side
    224,742x = 244,710,281,124
  5. Step 5: Solve for x
    x = 244,710,281,124/224,742
  6. Step 6: Final answer
    x = 1,088,849.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.