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Finding the Third Proportional to 467,604 and 753,042.75

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Solution

The third proportional to 467,604 and 753,042.75 is: 1,212,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,604 : 753,042.75 = 753,042.75 : x
  2. Step 2: Convert to fraction form
    467,604/753,042.75 = 753,042.75/x
  3. Step 3: Cross multiply
    467,604x = 753,042.75 × 753,042.75
  4. Step 4: Simplify right side
    467,604x = 567,073,383,327.56
  5. Step 5: Solve for x
    x = 567,073,383,327.56/467,604
  6. Step 6: Final answer
    x = 1,212,721.41

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.