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Finding the Third Proportional to 289,770 and 443,261.25

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Solution

The third proportional to 289,770 and 443,261.25 is: 678,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,770 : 443,261.25 = 443,261.25 : x
  2. Step 2: Convert to fraction form
    289,770/443,261.25 = 443,261.25/x
  3. Step 3: Cross multiply
    289,770x = 443,261.25 × 443,261.25
  4. Step 4: Simplify right side
    289,770x = 196,480,535,751.56
  5. Step 5: Solve for x
    x = 196,480,535,751.56/289,770
  6. Step 6: Final answer
    x = 678,056.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.