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Finding the Third Proportional to 224,477.25 and 498,777.19

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Solution

The third proportional to 224,477.25 and 498,777.19 is: 1,108,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,477.25 : 498,777.19 = 498,777.19 : x
  2. Step 2: Convert to fraction form
    224,477.25/498,777.19 = 498,777.19/x
  3. Step 3: Cross multiply
    224,477.25x = 498,777.19 × 498,777.19
  4. Step 4: Simplify right side
    224,477.25x = 248,778,682,770.41
  5. Step 5: Solve for x
    x = 248,778,682,770.41/224,477.25
  6. Step 6: Final answer
    x = 1,108,257.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.