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Finding the Third Proportional to 522,504 and 784,460

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Solution

The third proportional to 522,504 and 784,460 is: 1,177,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,504 : 784,460 = 784,460 : x
  2. Step 2: Convert to fraction form
    522,504/784,460 = 784,460/x
  3. Step 3: Cross multiply
    522,504x = 784,460 × 784,460
  4. Step 4: Simplify right side
    522,504x = 615,377,491,600
  5. Step 5: Solve for x
    x = 615,377,491,600/522,504
  6. Step 6: Final answer
    x = 1,177,746.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.