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Finding the Third Proportional to 522,500 and 784,454

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Solution

The third proportional to 522,500 and 784,454 is: 1,177,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,500 : 784,454 = 784,454 : x
  2. Step 2: Convert to fraction form
    522,500/784,454 = 784,454/x
  3. Step 3: Cross multiply
    522,500x = 784,454 × 784,454
  4. Step 4: Simplify right side
    522,500x = 615,368,078,116
  5. Step 5: Solve for x
    x = 615,368,078,116/522,500
  6. Step 6: Final answer
    x = 1,177,737.95

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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.