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Finding the Third Proportional to 190,374 and 412,584

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Solution

The third proportional to 190,374 and 412,584 is: 894,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,374 : 412,584 = 412,584 : x
  2. Step 2: Convert to fraction form
    190,374/412,584 = 412,584/x
  3. Step 3: Cross multiply
    190,374x = 412,584 × 412,584
  4. Step 4: Simplify right side
    190,374x = 170,225,557,056
  5. Step 5: Solve for x
    x = 170,225,557,056/190,374
  6. Step 6: Final answer
    x = 894,163.89

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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.