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Finding the Third Proportional to 224,769 and 493,835

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Solution

The third proportional to 224,769 and 493,835 is: 1,084,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,769 : 493,835 = 493,835 : x
  2. Step 2: Convert to fraction form
    224,769/493,835 = 493,835/x
  3. Step 3: Cross multiply
    224,769x = 493,835 × 493,835
  4. Step 4: Simplify right side
    224,769x = 243,873,007,225
  5. Step 5: Solve for x
    x = 243,873,007,225/224,769
  6. Step 6: Final answer
    x = 1,084,993.96

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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.