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Finding the Third Proportional to 362,469 and 784,673

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Solution

The third proportional to 362,469 and 784,673 is: 1,698,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,469 : 784,673 = 784,673 : x
  2. Step 2: Convert to fraction form
    362,469/784,673 = 784,673/x
  3. Step 3: Cross multiply
    362,469x = 784,673 × 784,673
  4. Step 4: Simplify right side
    362,469x = 615,711,716,929
  5. Step 5: Solve for x
    x = 615,711,716,929/362,469
  6. Step 6: Final answer
    x = 1,698,660.35

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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.