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Finding the Third Proportional to 289,748.50 and 587,685.25

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Solution

The third proportional to 289,748.50 and 587,685.25 is: 1,191,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,748.50 : 587,685.25 = 587,685.25 : x
  2. Step 2: Convert to fraction form
    289,748.50/587,685.25 = 587,685.25/x
  3. Step 3: Cross multiply
    289,748.50x = 587,685.25 × 587,685.25
  4. Step 4: Simplify right side
    289,748.50x = 345,373,953,067.56
  5. Step 5: Solve for x
    x = 345,373,953,067.56/289,748.50
  6. Step 6: Final answer
    x = 1,191,978.40

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.