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Finding the Third Proportional to 224,767 and 493,831

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Solution

The third proportional to 224,767 and 493,831 is: 1,084,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,767 : 493,831 = 493,831 : x
  2. Step 2: Convert to fraction form
    224,767/493,831 = 493,831/x
  3. Step 3: Cross multiply
    224,767x = 493,831 × 493,831
  4. Step 4: Simplify right side
    224,767x = 243,869,056,561
  5. Step 5: Solve for x
    x = 243,869,056,561/224,767
  6. Step 6: Final answer
    x = 1,084,986.04

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Why These Related Problems?

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