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Finding the Third Proportional to 223,144.50 and 490,570

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Solution

The third proportional to 223,144.50 and 490,570 is: 1,078,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,144.50 : 490,570 = 490,570 : x
  2. Step 2: Convert to fraction form
    223,144.50/490,570 = 490,570/x
  3. Step 3: Cross multiply
    223,144.50x = 490,570 × 490,570
  4. Step 4: Simplify right side
    223,144.50x = 240,658,924,900
  5. Step 5: Solve for x
    x = 240,658,924,900/223,144.50
  6. Step 6: Final answer
    x = 1,078,489.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.