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Finding the Third Proportional to 190,620.84 and 412,623.28

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Solution

The third proportional to 190,620.84 and 412,623.28 is: 893,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,620.84 : 412,623.28 = 412,623.28 : x
  2. Step 2: Convert to fraction form
    190,620.84/412,623.28 = 412,623.28/x
  3. Step 3: Cross multiply
    190,620.84x = 412,623.28 × 412,623.28
  4. Step 4: Simplify right side
    190,620.84x = 170,257,972,229.52
  5. Step 5: Solve for x
    x = 170,257,972,229.52/190,620.84
  6. Step 6: Final answer
    x = 893,176.05

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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.