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Finding the Third Proportional to 224,662.99 and 488,999.53

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Solution

The third proportional to 224,662.99 and 488,999.53 is: 1,064,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,662.99 : 488,999.53 = 488,999.53 : x
  2. Step 2: Convert to fraction form
    224,662.99/488,999.53 = 488,999.53/x
  3. Step 3: Cross multiply
    224,662.99x = 488,999.53 × 488,999.53
  4. Step 4: Simplify right side
    224,662.99x = 239,120,541,562.72
  5. Step 5: Solve for x
    x = 239,120,541,562.72/224,662.99
  6. Step 6: Final answer
    x = 1,064,352.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.