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Finding the Third Proportional to 289,625.63 and 448,449.75

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Solution

The third proportional to 289,625.63 and 448,449.75 is: 694,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,625.63 : 448,449.75 = 448,449.75 : x
  2. Step 2: Convert to fraction form
    289,625.63/448,449.75 = 448,449.75/x
  3. Step 3: Cross multiply
    289,625.63x = 448,449.75 × 448,449.75
  4. Step 4: Simplify right side
    289,625.63x = 201,107,178,275.06
  5. Step 5: Solve for x
    x = 201,107,178,275.06/289,625.63
  6. Step 6: Final answer
    x = 694,369.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.