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Finding the Third Proportional to 481,288.50 and 1,024,515

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Solution

The third proportional to 481,288.50 and 1,024,515 is: 2,180,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,288.50 : 1,024,515 = 1,024,515 : x
  2. Step 2: Convert to fraction form
    481,288.50/1,024,515 = 1,024,515/x
  3. Step 3: Cross multiply
    481,288.50x = 1,024,515 × 1,024,515
  4. Step 4: Simplify right side
    481,288.50x = 1,049,630,985,225
  5. Step 5: Solve for x
    x = 1,049,630,985,225/481,288.50
  6. Step 6: Final answer
    x = 2,180,876.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.