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Finding the Third Proportional to 362,880 and 784,176

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Solution

The third proportional to 362,880 and 784,176 is: 1,694,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,880 : 784,176 = 784,176 : x
  2. Step 2: Convert to fraction form
    362,880/784,176 = 784,176/x
  3. Step 3: Cross multiply
    362,880x = 784,176 × 784,176
  4. Step 4: Simplify right side
    362,880x = 614,931,998,976
  5. Step 5: Solve for x
    x = 614,931,998,976/362,880
  6. Step 6: Final answer
    x = 1,694,587.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.