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Finding the Third Proportional to 224,748 and 494,694

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Solution

The third proportional to 224,748 and 494,694 is: 1,088,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,748 : 494,694 = 494,694 : x
  2. Step 2: Convert to fraction form
    224,748/494,694 = 494,694/x
  3. Step 3: Cross multiply
    224,748x = 494,694 × 494,694
  4. Step 4: Simplify right side
    224,748x = 244,722,153,636
  5. Step 5: Solve for x
    x = 244,722,153,636/224,748
  6. Step 6: Final answer
    x = 1,088,873.55

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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.