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Finding the Third Proportional to 503,863.50 and 741,093

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Solution

The third proportional to 503,863.50 and 741,093 is: 1,090,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,863.50 : 741,093 = 741,093 : x
  2. Step 2: Convert to fraction form
    503,863.50/741,093 = 741,093/x
  3. Step 3: Cross multiply
    503,863.50x = 741,093 × 741,093
  4. Step 4: Simplify right side
    503,863.50x = 549,218,834,649
  5. Step 5: Solve for x
    x = 549,218,834,649/503,863.50
  6. Step 6: Final answer
    x = 1,090,015.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.