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Finding the Third Proportional to 190,542 and 407,328

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Solution

The third proportional to 190,542 and 407,328 is: 870,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,542 : 407,328 = 407,328 : x
  2. Step 2: Convert to fraction form
    190,542/407,328 = 407,328/x
  3. Step 3: Cross multiply
    190,542x = 407,328 × 407,328
  4. Step 4: Simplify right side
    190,542x = 165,916,099,584
  5. Step 5: Solve for x
    x = 165,916,099,584/190,542
  6. Step 6: Final answer
    x = 870,758.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.