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Finding the Third Proportional to 477,145.50 and 1,040,025

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Solution

The third proportional to 477,145.50 and 1,040,025 is: 2,266,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,145.50 : 1,040,025 = 1,040,025 : x
  2. Step 2: Convert to fraction form
    477,145.50/1,040,025 = 1,040,025/x
  3. Step 3: Cross multiply
    477,145.50x = 1,040,025 × 1,040,025
  4. Step 4: Simplify right side
    477,145.50x = 1,081,652,000,625
  5. Step 5: Solve for x
    x = 1,081,652,000,625/477,145.50
  6. Step 6: Final answer
    x = 2,266,922.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.