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Finding the Third Proportional to 252,576 and 548,749.69

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Solution

The third proportional to 252,576 and 548,749.69 is: 1,192,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,576 : 548,749.69 = 548,749.69 : x
  2. Step 2: Convert to fraction form
    252,576/548,749.69 = 548,749.69/x
  3. Step 3: Cross multiply
    252,576x = 548,749.69 × 548,749.69
  4. Step 4: Simplify right side
    252,576x = 301,126,219,531.35
  5. Step 5: Solve for x
    x = 301,126,219,531.35/252,576
  6. Step 6: Final answer
    x = 1,192,220.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.