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Finding the Third Proportional to 362,896 and 784,208

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Solution

The third proportional to 362,896 and 784,208 is: 1,694,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,896 : 784,208 = 784,208 : x
  2. Step 2: Convert to fraction form
    362,896/784,208 = 784,208/x
  3. Step 3: Cross multiply
    362,896x = 784,208 × 784,208
  4. Step 4: Simplify right side
    362,896x = 614,982,187,264
  5. Step 5: Solve for x
    x = 614,982,187,264/362,896
  6. Step 6: Final answer
    x = 1,694,651.33

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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.