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Finding the Third Proportional to 289,603.50 and 448,418.25

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Solution

The third proportional to 289,603.50 and 448,418.25 is: 694,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,603.50 : 448,418.25 = 448,418.25 : x
  2. Step 2: Convert to fraction form
    289,603.50/448,418.25 = 448,418.25/x
  3. Step 3: Cross multiply
    289,603.50x = 448,418.25 × 448,418.25
  4. Step 4: Simplify right side
    289,603.50x = 201,078,926,933.06
  5. Step 5: Solve for x
    x = 201,078,926,933.06/289,603.50
  6. Step 6: Final answer
    x = 694,324.92

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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.