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Finding the Third Proportional to 224,580.94 and 490,645.69

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Solution

The third proportional to 224,580.94 and 490,645.69 is: 1,071,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,580.94 : 490,645.69 = 490,645.69 : x
  2. Step 2: Convert to fraction form
    224,580.94/490,645.69 = 490,645.69/x
  3. Step 3: Cross multiply
    224,580.94x = 490,645.69 × 490,645.69
  4. Step 4: Simplify right side
    224,580.94x = 240,733,190,662.35
  5. Step 5: Solve for x
    x = 240,733,190,662.35/224,580.94
  6. Step 6: Final answer
    x = 1,071,921.75

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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.