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Finding the Third Proportional to 280,916.44 and 619,093.13

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Solution

The third proportional to 280,916.44 and 619,093.13 is: 1,364,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,916.44 : 619,093.13 = 619,093.13 : x
  2. Step 2: Convert to fraction form
    280,916.44/619,093.13 = 619,093.13/x
  3. Step 3: Cross multiply
    280,916.44x = 619,093.13 × 619,093.13
  4. Step 4: Simplify right side
    280,916.44x = 383,276,297,422.27
  5. Step 5: Solve for x
    x = 383,276,297,422.27/280,916.44
  6. Step 6: Final answer
    x = 1,364,378.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.