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Finding the Third Proportional to 519,340 and 784,626

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Solution

The third proportional to 519,340 and 784,626 is: 1,185,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,340 : 784,626 = 784,626 : x
  2. Step 2: Convert to fraction form
    519,340/784,626 = 784,626/x
  3. Step 3: Cross multiply
    519,340x = 784,626 × 784,626
  4. Step 4: Simplify right side
    519,340x = 615,637,959,876
  5. Step 5: Solve for x
    x = 615,637,959,876/519,340
  6. Step 6: Final answer
    x = 1,185,423.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.