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Finding the Third Proportional to 285,232.64 and 426,960.49

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Solution

The third proportional to 285,232.64 and 426,960.49 is: 639,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,232.64 : 426,960.49 = 426,960.49 : x
  2. Step 2: Convert to fraction form
    285,232.64/426,960.49 = 426,960.49/x
  3. Step 3: Cross multiply
    285,232.64x = 426,960.49 × 426,960.49
  4. Step 4: Simplify right side
    285,232.64x = 182,295,261,888.99
  5. Step 5: Solve for x
    x = 182,295,261,888.99/285,232.64
  6. Step 6: Final answer
    x = 639,110.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.