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Finding the Third Proportional to 224,476.88 and 498,776.44

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Solution

The third proportional to 224,476.88 and 498,776.44 is: 1,108,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,476.88 : 498,776.44 = 498,776.44 : x
  2. Step 2: Convert to fraction form
    224,476.88/498,776.44 = 498,776.44/x
  3. Step 3: Cross multiply
    224,476.88x = 498,776.44 × 498,776.44
  4. Step 4: Simplify right side
    224,476.88x = 248,777,934,605.19
  5. Step 5: Solve for x
    x = 248,777,934,605.19/224,476.88
  6. Step 6: Final answer
    x = 1,108,256.41

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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.