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Finding the Third Proportional to 456,610.50 and 727,198

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Solution

The third proportional to 456,610.50 and 727,198 is: 1,158,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,610.50 : 727,198 = 727,198 : x
  2. Step 2: Convert to fraction form
    456,610.50/727,198 = 727,198/x
  3. Step 3: Cross multiply
    456,610.50x = 727,198 × 727,198
  4. Step 4: Simplify right side
    456,610.50x = 528,816,931,204
  5. Step 5: Solve for x
    x = 528,816,931,204/456,610.50
  6. Step 6: Final answer
    x = 1,158,135.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.