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Finding the Third Proportional to 362,784 and 784,668

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Solution

The third proportional to 362,784 and 784,668 is: 1,697,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,784 : 784,668 = 784,668 : x
  2. Step 2: Convert to fraction form
    362,784/784,668 = 784,668/x
  3. Step 3: Cross multiply
    362,784x = 784,668 × 784,668
  4. Step 4: Simplify right side
    362,784x = 615,703,870,224
  5. Step 5: Solve for x
    x = 615,703,870,224/362,784
  6. Step 6: Final answer
    x = 1,697,163.80

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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.