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Finding the Third Proportional to 362,122.25 and 784,721.25

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Solution

The third proportional to 362,122.25 and 784,721.25 is: 1,700,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,122.25 : 784,721.25 = 784,721.25 : x
  2. Step 2: Convert to fraction form
    362,122.25/784,721.25 = 784,721.25/x
  3. Step 3: Cross multiply
    362,122.25x = 784,721.25 × 784,721.25
  4. Step 4: Simplify right side
    362,122.25x = 615,787,440,201.56
  5. Step 5: Solve for x
    x = 615,787,440,201.56/362,122.25
  6. Step 6: Final answer
    x = 1,700,496.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.